minimal surfaces,
Plateau problem,
topology and geometry of Lie groups,
homogeneous spaces,
dynamical systems,
integrable Hamiltonian equations,
topological invariants of dynamical systems,
computer geometry,
topology of three-dimensional manifolds,
Hamiltonian mechanics,
symplectic geometry.
Subject:
In the theory of minimal surfaces was proved the multidimensional Plateau problem in the class of spectral bordisms of Riemannian manifolds. Then, as application of this general construction, was proved the global minimality of many well-known submanifolds in homogeneous Riemannian spaces of compact Lie groups. New scientific branch was developed, namely, the theory of topological classification of nondegenerate Hamiltonian differential equations (dynamical systems) of general type. New topological invariants, describing the topological type of singularities of dynamical systems, were discovered. As a result, was obtained the classification of integrable Hamiltonian systems with two degrees of freedom, up to Liouville equivalence and up to orbital equivalence (of topological and smooth type).
Biography
Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1967 (department of differential geometry). Ph. D. thesis was defended in 1970. D. Sci. thesis was defended in 1972. A list of my mathematical works contains more than 180 titles. A list of my books in mathematics contains 30 titles. Since 1980 I have led the research seminar "Modern Geometrical Methods" at MSU (Department of Mathematics and Mechanics).
Award of Moscow Mathematical Society, 1974. Award of the Presidium of Academy of Science, USSR, 1987. State Award of Russian Federation, 1996.
Main publications:
Fomenko A. T., “Periodichnost Botta s tochki zreniya mnogomernogo funktsionala Dirikhle”, Izv. AN SSSR. Ser. matem., 35:3 (1971), 667–681
Fomenko A. T., “Mnogomernaya zadacha Plato v rimanovykh mnogoobraziyakh”, Matem. sb., 89:3 (1972), 475–519
Mischenko A. S., Fomenko A. T., “Obobschennyi metod Liuvillya integrirovaniya gamiltonovykh sistem”, Funkts. analiz i ego prilozh., 12:2 (1978), 46–56
Fomenko A. T., “Teoriya Morsa integriruemykh gamiltonovykh sistem”, Dokl. AN SSSR, 287:5 (1986), 1071–1075
G. V. Belozerov, A. T. Fomenko, “Orbital invariants of billiards and linearly integrable geodesic flows”, Sb. Math., 215:5 (2024), 573–611
2.
G. V. Belozerov, A. T. Fomenko, Mat. Sb.
2024
3.
S. O. Gorchinskiy, V. G. Danilov, S. Yu. Dobrokhotov, V. V. Kozlov, V. E. Nazaikinskii, N. N. Nefedov, D. O. Orlov, S. A. Stepin, I. A. Taimanov, D. V. Treschev, N. A. Tyurin, A. T. Fomenko, S. E. Yakush, “Andrei Igorevich Shafarevich (on his sixtieth birthday)”, Russian Math. Surveys, 79:3 (2024), 553–556
A.T. Fomenko, “Billiards of Variable Configuration and Billiards With Slipping
in Hamiltonian Geometry and Topology”, Lobachevskii Journal of Mathematics, 44:10 (2023), 4512–4522
6.
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954
7.
A.T. Fomenko, Variatsionnye metody v topologii, Trudy vydayuschikhsya uchenykh MGU, 2-e izdanie, ispravlennoe, Izd-vo Moskovskogo un-ta, Moskva, 2023 , 343 pp.
A. T. Fomenko, V. V. Vedyushkina, “Evolutionary force billiards”, Izv. Math., 86:5 (2022), 943–979
10.
A. T. Fomenko, “Billiardy peremennoi konfiguratsii v gamiltonovoi
geometrii i topologii”, Mezhdunarodnaya konferentsiya “Lobachevskie chteniya”. Sbornik trudov. (Kazan, 30 iyunya - 4 iyulya 2022 g.), Trudy Matematicheskogo tsentra imeni N.I.Lobachevskogo, 62, Regionalnyi nauchno-obrazovatelnyi matematicheskii tsentr PFO, Kazan, 2022, 112–115
11.
A. T. Fomenko, V. A. Kibkalo, “Topology of Liouville foliations of integrable billiards on table-complexes”, European Journal of Mathematics, 8 (2022), 1392–1423
A.T. Fomenko, Simplekticheskaya geometriya. Metody i prilozheniya., 2-e izd., URSS, Moskva, 2022 , 408 pp.
13.
A. A. Tuzhilin, A. T. Fomenko, Elementy geometrii i topologii minimalnykh poverkhnostei, 2-e izd., stereotipnoe, URSS, Moskva, 2022 , 256 pp.
14.
A. T. Fomenko, Matematika, Mif, “Master i Margarita” v 199 kartinakh: smykaya vershiny ratsionalnogo myshleniya s glubinami arkhaicheskogo i bessoznatelnogo, URSS, Moskva, 2022 , 424 pp.
15.
V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5
A. I. Shafarevich, A. T. Fomenko, V. N. Chubarikov, A. O. Ivanov, V. G. Chirskii, V. I. Bernik, V. A. Bykovskii, A. I. Galochkin, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovolsky, N. N. Dobrovolsky, I. Yu. Rebrova, V. Kh. Salikhov, “Yuri Valentinovich Nesterenko (to the 75th anniversary)”, Chebyshevskii Sb., 23:1 (2022), 10–20
2021
18.
A.T. Fomenko, V.A. Kibkalo, “Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms”, Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics, Understanding Complex Systems, eds. Sadovnichiy V.A., Zgurovsky M.Z., Springer, 2021, 3-26
V. A. Kibkalo, A. T. Fomenko, I. S. Kharcheva, “Realizing integrable Hamiltonian systems by means of billiard books”, Trans. Moscow Math. Soc., 82 (2021), 37–64
22.
Fomenko, A.T., Vedyushkina, V.V., “Billiards with Changing Geometry and Their Connection with the Implementation of the Zhukovsky and Kovalevskaya Cases”, Russ. J. Math. Phys., 28 (2021), 317-332
V. V. Vedyushkina, A. T. Fomenko, “Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases”, Dokl. Math., 103:1 (2021), 1–4
24.
S. B. Gashkov, O. S. Dudakova, M. D. Kovalev, R. M. Kolpakov, V. V. Kochergin, N. P. Red'kin, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. D. Yashunskii, “Oktay Muradoviсh Kasim-Zade (29.04.1953–22.12.2020)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 60–63
25.
Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya: Metody i prilozheniya: Geometriya i topologiya mnogoobrazii, v. 2, 7-e izd., URSS, 2021
26.
V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71
27.
A. I. Shafarevich, A. T. Fomenko, A. O. Ivanov, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, “Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)”, Chebyshevskii Sb., 22:5 (2021), 5–15
2020
28.
D. A. Fedoseev, A. T. Fomenko, “Noncompact Bifurcations of Integrable Dynamic Systems”, Journal of Mathematical Sciences, 248 (2020), 810–827
V. V. Vedyushkina, V. A. Kibkalo, A. T. Fomenko, “Topological Modeling of Integrable Systems by Billiards: Realization of Numerical Invariants”, Doklady Mathematics, 102:1 (2020), 269–271
30.
A. S. Mischenko, A. T. Fomenko, Kurs differentsialnoi geometrii i topologii, 4-e izd., pererab. i dop., URSS, Moskva, 2020 , 504 pp.
2019
31.
A. T. Fomenko, K. I. Solodskih, “Three-Dimensional Manifolds of Constant Energy and Invariants of Integrable Hamiltonian Systems”, Modern Mathematics and Mechanics. Fundamentals, Problems and Challenges, Understanding Complex Systems, eds. V. A. Sadovnichiy, M. Z. Zgurovsky, Springer, 2019, 13–30
32.
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards”, Izv. Math., 83:6 (2019), 1137–1173
33.
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Moscow University Mathematics Bulletin, 74:3 (2019), 98–107
34.
A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63
V. V. Vedyushkina, A. T. Fomenko, “Realizatsiya effektov sistem fiziki i mekhaniki integriruemymi billiardami”, Materialy konferentsii «Sovremennye problemy matematiki i mekhaniki», posvyaschennoi 80-letiyu akademika V.A.Sadovnichego (Moskva, 13–15 maya 2019 g.), MGU, 2019, 607–610
36.
A. T. Fomenko, “Billiards and Integrability”, Abstracts. International Conference on Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (Shanghai, China, 2019, May 6–12), Shanghai Jiao Tong University, 2019, 11–13
37.
V. V. Vedyushkina, A. T. Fomenko, “Ponizhenie stepeni integralov gamiltonovykh sistem s pomoschyu billiardov”, Doklady Akademii nauk, 486:2 (2019), 151–155
A. T. Fomenko and V. V. Vedyushkina, “Topological billiards, conservation laws and classification of trajectories”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemporary Mathematics, 733, eds. Peter Kuchment and Evgeny Semenov, American Mathematical Society, 2019, 129–148
A. T. Fomenko, V. V. Vedyushkina, “Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field”, Russian Journal of mathematical physics, 26:3 (2019), 320–333
A. T. Fomenko, Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, Klassicheskii uchebnik MGU, 3-e izd., ispr. i dop., LELAND, URSS, Moskva, 2019 , 304 pp.
41.
A. T. Fomenko, Topologicheskie variatsionnye zadachi, Klassicheskii uchebnik MGU, 2-e izd., ispr. i dop., LELAND, URSS, Moskva, 2019 , 336 pp.
2018
42.
V. V. Vedyushkina, A. T. Fomenko, “Nevypuklye topologicheskie billiardy kak modeli integriruemykh geodezicheskikh potokov na orientiruemykh poverkhnostyakh”, Materialy Mezhdunarodnoi Konferentsii «Voronezhskaya zimnyaya matematicheskaya shkola S.G. Kreina – 2018», izdatelsko-poligraficheskii tsentr «Nauchnaya kniga», Voronezh, 2018, 348–352
43.
V. V. Vedyushkina, A. T. Fomenko, I. S. Kharcheva, “Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards”, Dokl. Math., 97:2 (2018), 174–176
44.
A. T. Fomenko, “Topological billiards and integrable Hamiltonian systems”, International Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu.Sternin (Moskva, 6–9 noyabrya 2018), RUDN, 2018, 30–31
45.
V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Russian Math. Surveys, 73:4 (2018), 737–746
46.
A. T. Fomenko, Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, 3-e izd., ispr. i dop., URSS, 2018 , 480 pp.
2017
47.
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable topological billiards and equivalent dynamical systems”, Izv. Math., 81:4 (2017), 688–733
48.
V. V. Vedyushkina, A. O. Ivanov, A .A. Tuzhilin, A. T. Fomenko, “Kompyuternye modeli v geometrii i dinamike”, Intellektualnye sistemy. Teoriya i prilozheniya, 20:1 (2017), 8 , 20 pp. http://intsysjournal.ru/articles/is2101/docklad_ffit.pdf
49.
V. V. Vedyushkina, A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, Intelligent systems, 21:1 (2017), 164–191
50.
V. N. Chubarikov, A. T. Fomenko, S. S. Demidov, V. N. Chinenova, “Irina Alexandrovna Tulina is 95”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5, 70–71
2016
51.
A. T. Fomenko, V. V. Fokicheva, S. S. Nikolaenko, “Topologicheski ekvivalentnye sluchai integriruemosti v dinamike”, Materialy mezhdunarodnoi konferentsii «Voronezhskaya zimnyaya matematicheskaya shkola S. G. Kreina-2016», Izdatelsko-poligraficheskii tsentr «Nauchnaya kniga», Voronezh, 2016, 407–417
52.
A. T. Fomenko, “Topologicheskie billiardy s bogatymi simmetriyami modeliruyut vazhnye sluchai gamiltonovoi dinamiki v fizike i mekhanike”, Materialy mezhdunarodnoi konferentsii po algebre, analizu i geometrii (Kazan, 25 iyunya – 4 iyulya 2016 g.), Kazanskii federalnyi universitet, 2016, 35
53.
A. Fomenko, D. Fuchs, Homotopical Topology, Graduate Texts in Mathematics, 273, 2nd edition, Springer, 2016 , 627 pp.
V. V. Fokicheva and A. T. Fomenko, “Billiard systems as the models for the rigid body dynamics”, Studies in Systems, Decision and Control, Advances in Dynamical Systems and Control, 69, eds. V. A. Sadovnichiy, M. Z. Zgurovsky, Springer International Publishing, 2016, 13–32
D. A. Fedoseev, A. T. Fomenko, “Noncompact bifurcations of integrable dynamic systems”, J. Math. Sci., 248:6 (2020), 810–827
2016
56.
A. S. Mischenko, Yu. P. Solovev, A. T. Fomenko, Sbornik zadach po differentsialnoi geometrii i topologii, URSS, Moskva, 2016 , 416 pp.
2015
57.
A. T. Fomenko, V. V. Fokicheva, “Integrable billiards model important integrable cases of rigid body dynamics”, Doklady Mathematics, 92:3 (2015), 682–684
58.
A. T. Fomenko, S. S. Nikolaenko, “The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid”, Journal of Geometry and Physics, 87 (2015), 115–133
A. T. Fomenko, E. O. Kantonistova, “Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential”, Continuous and Distributed Systems II. Theory and Applications, Studies in Systems, Decision and Control, 30, Springer, 2015, 11–17
2014
60.
A. T. Fomenko, A. Yu. Konyaev, “Algebra and Geometry Through Hamiltonian Systems”, Continuous and Distributed Systems. Theory and Applications, Solid Mechanics and Its Applications, 221, eds. V. Z. Zgurovsky, V. A. Sadovnichiy, Springer, 2014, 3–21
A.T.Fomenko, “Topological classification of integrable systems and billiards in confocal quadrics”, Book of Abstracts. International Conference. 13th Serbian Mathematical Congress. (Vrnjacka Banja, Serbia, May 22–25, 2014), Mathematical Society of Serbia, Belgrade, Serbia, 2014, 82
63.
A.T.Fomenko, “Topology of Integrable Hamiltonian Systems - Recent Results”, Book of Abstracts. International Conference. 13th Serbian Mathematical Congress (Vrnjacka Banja, Serbia, May 22-25, 2014), Mathematical Society of Serbia, Belgrade, Serbia, 2014, 83
64.
A.T.Fomenko, “Topological classification of integrable systems and billiards in confocal quadrics”, Book of Abstracts. XVIII Geometrical Seminar (Vrnjacka Banja, Serbia, May 25-28, 2014), Faculty of Sciences and Mathematics, University of Nis, Serbia, 2014, 38–39
65.
V. A. Sadovnichii , V. N. Chubarikov, V. I. Gavrilov, T. P. Lukashenko, A. T. Fomenko, I. Kh. Sabitov, A. K. Rybnikov, “Pamyati Leonida Evgenevicha Evtushika (25.05. 1931 - 16.02.2013)”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2014, no. 5, 69–70
66.
A.A.Tuzhilin, A.T.Fomenko, Elementy geometrii i topologii minimalnykh poverkhnostei, Klassicheskii uchebnik MGU, izdanie vtoroe, dopolnennoe, URSS, 2014
V.V.Aleksandrov, V.P.Karlikov, V.E.Podolskii, A.T.Fomenko, V.N.Chubarikov, A.A.Shkalikov, “Akademik Viktor Antonovich Sadovnichii”, Vestnik MGU, seriya matematika, mekhanika, 2014, 3–5
69.
A.A.Oshemkov, F.Yu.Popelenskii, A.A.Tuzhilin, A.T.Fomenko, A.I.Shafarevich, Kurs naglyadnoi geometrii i topologii, Klassicheskii uchebnik MGU, Lenand, Moskva, 2014 , 360 pp.
70.
A. I. Aptekarev, P. A. Borodin, B. S. Kashin, Yu. V. Nesterenko, P. V. Paramonov, A. V. Pokrovskii, A. G. Sergeev, A. T. Fomenko, “Evgenii Prokof'evich Dolzhenko (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1143–1148
2013
71.
A.T.Fomenko, E.A.Kudryavtseva, “Each finite group is a symmetry group of some map (an "atom"-bifurcation)”, Moscow Univ. Math. Bull., 68:3 (2013), 148–155
2012
72.
F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193
2013
73.
B.A.Dubrovin, S.P.Novikov, A.T.Fomenko, Sovremennaya geometriya. Metody i prilozheniya, v. 1, Klassicheskii universitetskii uchebnik. Moskovskii gosudarstvennyi universitet im.M.V.Lomonosova, Geometriya poverkhnostei, grupp preobrazovanii i polei, Izdanie shestoe, izd-vo URRS, knizhnyi dom “Librokom”, Moskva, 2013
74.
B.A.Dubrovin, S.P.Novikov, A.T.Fomenko, Sovremennaya geometriya. Metody i prilozheniya, v. 2, Klassicheskii universitetskii uchebnik. Moskovskii gosudarstvennyi universitet im.M.V.Lomonosova, Geometriya i topologiya mnogoobrazii, Izdanie shestoe, izd-vo URRS, knizhnyi dom “Librokom”, Moskva, 2013
75.
B.A.Dubrovin, S.P.Novikov, A.T.Fomenko, Sovremennaya geometriya. Metody i prilozheniya, v. 3, Klassicheskii universitetskii uchebnik. Moskovskii gosudarstvennyi universitet im.M.V.Lomonosova, Teoriya gomologii, Izdanie shestoe, izd-vo URRS, knizhnyi dom “Librokom”, Moskva, 2013
76.
A.T.Fomenko, A.S.Mishchenko, Yu.P.Solovyev, Selected Problems in Differential Geometry and Topology, Cambridge Scientific Publishers, 2013
77.
V. N. Chubarikov, A. T. Fomenko, A. S. Mishchenko, E. V. Shchepin, B. A. Pasynkov, V. I. Ponomarev, S. D. Iliadis, Yu. V. Sadovnichii, K. L. Kozlov, “Vitalii Vital'evich Fedorchuk (01.11.1942 – 09.12.2012)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 4, 70–71
A.T.Fomenko, A.Yu.Konyaev, “New approach to symmetries and singularities in integrable Hamiltonian systems”, Topology and its Applications, 159 (2012), 1964–1975
A.T.Fomenko, A.Yu.Konyaev, “New approach to symmetries and singularities in integrable Hamiltonian systems”, Topology and its Applications, 159 (2012), 1964–1975
E.A.Kudryavtseva, A.T.Fomenko, “Gruppy simmetrii pravilnykh funktsii Morsa na poverkhnostyakh”, Doklady RAN, seriya: matematika, 446:6 (2012), 615–617
82.
A.T.Fomenko, “Hidden Symmetries in Integrable Hamiltonian Systems”, Progress in Analysis. Proceedings of the 8th Congress of the International Society for Analysis, its Applications, and Computation, Volume 1, Peoples' Friendship University of Russia, Moscow, 2012, 26–41
83.
F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193
2011
84.
A. T. Fomenko, “Hidden symmetries in integrable dynamical systems”, Abstracts. 8th International ISAAC Congress (Moscow, August 22-27, 2011), Peoples' Friendship University of Russia, Moscow, 2011, 36
Fomenko A.T., “Singularities and bifurcations of integrable Hamiltonian Systems”, Abstracts of 2010 International Conference on Topolody and its Applications (June 26–30 Nafpaktos, Greece), 2010, 98–99
Mischenko A.S., Fomenko A.T., Kurs differentsialnoi geometrii i topologii, izdanie trete, pererabotannoe i dopolnennoe, Izd-vo Lan, Sankt-Peterburg, Moskva, Krasnodar, 2010
89.
A. T. Fomenko, Nelin. Dinam., 6:4 (2010), 891–892
90.
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, V. V. Kozlov, V. A. Kondratiev, A. A. Kon'kov, N. Kh. Rozov, I. N. Sergeev, V. N. Chubarikov, A. T. Fomenko, A. S. Shamaev, “To memory of Vladimir Mikhailovich Millionshchikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2, 71–72
2009
91.
Fomenko A.T., Mishchenko A.S., A short course in differential geometry and topology, Cambridge Scientific Pub., Cambridge, UK, 2009 , xi+273 pp.
92.
Kudryavtseva E.A., Nikonov I.M., Fomenko A.T. , “Simmetrichnye i neprivodimye abstraktnye mnogogranniki”, Matematika. Vypusk 2. Geometriya i topologiya, Sovremennye problemy matematiki i mekhaniki, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, Moskva, 2009, 58–97
2011
93.
A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, “Computer modeling of curves and surfaces”, J. Math. Sci., 172:5 (2011), 663–689
Nikonov I.M., Fomenko A.T., Shafarevich A.I., “K 75-letiyu konchiny Dmitriya Fedorovicha Egorova”, Istoriko-matematicheskie issledovaniya, vtoraya seriya, no. 13(48), Rossiiskaya Akademiya nauk, Institut istorii estestvoznaniya i tekhniki im. S. I. Vavilova, 2009, 49–53
2008
96.
E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko, “Maximally symmetric cell decompositions of surfaces and their coverings”, Sb. Math., 199:9 (2008), 1263–1353
97.
Fomenko A.T., Shnurnikov I.N., “Retragiruemye spainy s odnoi dvumernoi kletkoi”, Tezisy dokladov. Voronezhskaya zimnyaya matematicheskaya shkola S. G. Kreina - 2008, Voronezhskii gos. un-t, Voronezh, 2008, 140–141
98.
Kudryavtseva E.A., Nikonov I.M., Fomenko A.T., “Maksimalno simmetrichnye kletochnye razbieniya poverkhnostei i ikh nakrytiya”, Mezhdunarodnaya konferentsiya “Differentsialnye uravneniya i topologiya”, posvyaschennaya 100-letiyu so dnya rozhdeniya Lva Semenovicha Pontryagina, Tezisy dokladov (Moskva, 17–22 iyunya 2008), Matematicheskii in-t im. V. A. Steklova RAN, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, 2008, 471
99.
Fomenko A.T., Goldberg V.V., Kirichenko V.F., Lychagin V.V., Shelekhov A.M., “Maks A. Akivis”, J. Gen. Lie Theory Appl., 2:1 (2008), 1–18
100.
N. M. Bliznyakov, V. M. Buchstaber, Yu. E. Gliklikh, V. G. Zvyagin, A. S. Mishchenko, V. V. Obukhovskii, Yu. I. Sapronov, A. T. Fomenko, A. V. Chernavskii, “Yurii Grigor'evich Borisovich (obituary)”, Russian Math. Surveys, 63:4 (2008), 767–769
101.
Fomenko A.T., Goldberg V.V., Kirichenko V.F., Lychagin V.V., “Maks A. Akivis. On the occasion of his 85-th birthday and 65 years of scientific activity”, Maks A. Akivis. Selected Papers, Heldermann Verlag, Germany, 2008, xi-xx
Fomenko A.T., Korotkevich A.A., “Novye serii integriruemykh sistem na algebrakh Li”, Voronezhskaya zimnyaya Matematicheskaya shkola S. G. Kreina. Tezisy dokladov, Voronezhskii gos. un-t, Voronezh, 2006, 102
104.
Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., Zvezdy. (Astronomicheskie metody v khronologii. Almagest Ptolemeya. Ptolemei. Tikho Brage. Kopernik. Egipetskie zodiaki), v. 1, Izd-vo RIMIS, Moskva, 2006
105.
Nosovskii G.V., Fomenko A.T., Fomenko T.N., Zvezdy. (Astronomicheskie metody v khronologii. Almagest Ptolemeya. Ptolemei. Tikho Brage. Kopernik. Egipetskie zodiaki), v. 2, Izd-vo RIMIS, Moskva, 2006
106.
Fomenko A.T., “Topology and geometry of integrable Hamiltonian systems on Lie algebras. New development”, International Conference on Topology and its Applications (June 23–26, 2006), Abstracts, Municipal Library of Aegon, Aegion, Greece, 2006, 68–69
107.
Bolsinov A.V., Fomenko A.T., Oshemkov A.A., Topological methods in the theory of integrable Hamiltonian systems, Cambridge Scientific Publishers, 2006
108.
Fomenko A.T., Fomenko T.N., “O topologicheskikh rabotakh A. N. Tikhonova. (K 100-letiyu so dnya rozhdeniya)”, Akademik Andrei Nikolaevich Tikhonov. K 100-letiyu so dnya rozhdeniya, Izd-vo MAKS-PRESS, Moskva, 2006, 109–115
109.
Golovanov N.N., Ilyutko D.P., Nosovskii G.V., Fomenko A.T., Kompyuternaya geometriya, Prikladnaya matematika i informatika, Izdatelskii tsentr “Akademiya”, Moskva, 2006
2004
110.
Fomenko A.T., Morozov P.V., “Some new results in topological classification of integrable systems in rigid body dynamics”, Contemporary geometry and related topics, World Sci. Publ., River Edge, NJ, 2004, 201–222
Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, pererabotannoe i dopolnennoe izdanie, Fizmatlit, Moskva, 2004
115.
Bokan N., Djoric M., Fomenko A.T., Rakic Z., Weiss J. (Eds.), Proceedings of the Workshop “Contemporary Geometry and Related Topics” (Belgrade, Yugoslavia, 15–21 May 2002), World Scientific Publishing Co., 2004
116.
V. V. Belokurov, A. A. Egorov, A. S. Mishchenko, F. Yu. Popelenskii, V. A. Sadovnichii, E. V. Troitskii, A. T. Fomenko, E. T. Shavgulidze, “Yurii Petrovich Solov'ev (obituary)”, Russian Math. Surveys, 59:5 (2004), 941–947
2003
117.
P. V. Morozov, A. T. Fomenko, “New results on topological classification of integrable systems in the mechanics of rigid body”, Tr. Geom. Semin., 24, Kazan Mathematical Society, Kazan, 2003, 107–120
Fomenko A.T., Hayat-Legrand C., Shafarevich A.I., “Topology of low-dimensional manifolds and geometry of Hamiltonian systems with applications to physics and mechanics”, French-Russian A. M. Liapunov Institute for Applied Mathematics and Computer Science. Transactions, 4, MGU, Moskva, 2003, 190–199
120.
Fomenko A.T., Ivanov A.A., Tuzhilin A.A., “Visual Topology and Variational Problems on Two-Dimensional Surfaces”, Mathematics and Culture. II. Visual Parfection: Mathematics and Creativity, ed. Michele Emmere, Springer Verlag, 2003, 99–123
2002
121.
Brailov Yury A., Fomenko Anatoly T., “Lie groups and integrable Hamiltonian systems”, Recent advances in Lie theory (Vigo, 2000), Res. Exp. Math., 25, Heldermann, Lemgo, 2002, 45–76
122.
V. V. Trofimov, A. T. Fomenko, “Riemannian geometry”, J. Math. Sci. (New York), 109:2 (2002), 1345–1501
123.
Fomenko A.T., Nosovskii G.V., “O “novgorodskikh datirovkakh” A. A. Zaliznyaka i V. L. Yanina”, Vestnik Rossiiskoi Akademii nauk, 72:2 (2002), 134–140
2001
124.
Fomenko A.T., Matematika i mif skvoz prizmu geometrii, Izd-vo Mosk. un-ta, M., 2001
125.
Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, Fizmatlit, M., 2001
126.
D. V. Anosov, A. A. Bolibrukh, A. M. Vershik, A. A. Gonchar, R. I. Grigorchuk, V. V. Kozlov, V. P. Maslov, E. F. Mishchenko, Ya. G. Sinai, V. M. Tikhomirov, P. L. Ul'yanov, A. T. Fomenko, “Anatolii Mikhailovich Stepin (on his 60th birthday)”, Russian Math. Surveys, 56:1 (2001), 201–205
127.
A. A. Irmatov, O. B. Lupanov, V. P. Maslov, V. M. Manuilov, A. A. Mikhalev, V. A. Sadovnichii, Yu. P. Solov'ev, E. V. Troitskii, A. T. Fomenko, “Aleksandr Sergeevitch Mischenko”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 5, 67–69
2000
128.
Bolsinov A.V., Fomenko A.T., Integrable geodesic flows on two-dimensional surfaces, Monographs in Contemporary Mathematics, Consultants Bureau, New York, 2000 , xiv+322 pp.
129.
Fomenko A., “Minimal surfaces”, Quantum, 10:5 (2000), 4–7
130.
A. V. Bolsinov, P. H. Richter, A. T. Fomenko, “The method of loop molecules and the topology of the Kovalevskaya top”, Sb. Math., 191:2 (2000), 151–188
131.
Mischenko A.S., Fomenko A.T., Kurs differentsialnoi geometrii i topologii, izdanie 2-e, dopolnennoe i pererabotannoe, Izd-vo Faktorial Press, Moskva, 2000
Bolsinov A.V., Fomenko A.T., Geometriya i topologiya integriruemykh geodezicheskikh potokov na poverkhnostyakh, v. 2, Biblioteka R&C Dynamics. Regulyarnaya i khaoticheskaya dinamika, URSS, Moskva, 1999
135.
Bolsinov A.V., Fomenko A.T., Integriruemye gamiltonovy sistemy. Geometriya. Topologiya. Klassifikatsiya, v. 1, 2, Izdatelskii dom “Udmurtskii universitet”, Izhevsk, 1999 , 1: 444 c.; 2: 447 pp.
136.
Fomenko A.T., “Three-dimensional visualization of multidimensional topological objects”, International Journal of Shape Modeling, 5:1 (1999), 39–54
Fomenko A.T., Metody statisticheskogo analiza istoricheskikh tekstov. Prilozheniya k khronologii, v. 1, 2, Izd-vo Kraft+Lean, Moskva, 1999
138.
Kellin N.S., Nosovskii G.V., Fomenko A.T., “Vopros o podlinnosti “Drevnei Rosskiiskoi istorii” M. V. Lomonosova. Lomonosov ili Miller?”, Vestnik Moskovskogo Universiteta. Seriya 9: Filologiya, 1999, no. 1, 116–125
139.
Fomenko A.T., Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, v. 3, Biblioteka “Matematika”, izdanie 2-e, ispravlennoe i dopolnennoe, Regulyarnaya i khaoticheskaya dinamika, Izhevsk, 1999
V. V. Aleksandrov, V. S. Vladimirov, A. A. Gonchar, A. I. Grigor'ev, S. S. Grigoryan, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, D. P. Kostomarov, L. D. Kudryavtsev, L. S. Logunov, O. B. Lupanov, V. P. Maslov, E. I. Moiseev, O. A. Oleinik, Yu. S. Osipov, A. A. Samarskii, P. L. Ul'yanov, L. D. Faddeev, A. T. Fomenko, “Viktor Antonovich Sadovnichiǐ (on the occasion of his sixtieth birthday)”, Differ. Equ., 35:4 (1999), 433–446
1998
142.
Bolsinov A.V., Fomenko A.T., “Orbital isomorphism between two classical integrable systems. The Euler case and the Jacobi problem”, Lie groups and Lie algebras, Math. Appl., 433, Kluwer Acad. Publ., Dordrecht, 1998, 359–382
143.
A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Sb. Math., 189:10 (1998), 1441–1466
144.
Bolsinov A.V., Fomenko A.T., “Nekotorye aktualnye nereshennye zadachi po topologii integriruemykh gamiltonovykh sistem”, Topologicheskie metody v teorii gamiltonovykh sistem, izd-vo Faktorial, Moskva, 1998, 5–23
145.
Bolsinov A.V., Fomenko A.T., Matveev V.S., Riemannian metrics with integrable geodesic flows on surfaces: local and global geometry, Preprint series (120), Max-Planck-Institut für Mathematik, 1998 , 42 pp.
146.
Matveev S.V., Fomenko A.T., Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, vtoroe izdanie, pererabotannoe i dopolnennoe, Izd-vo Nauka, M., 1998
147.
Fomenko A.T., Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, vtoroe izdanie, pererabotannoe i dopolnennoe, Izd-vo MGU, M., 1998
148.
G. I. Arkhipov, V. I. Blagodatskikh, A. A. Bolibrukh, V. A. Iskovskikh, A. A. Karatsuba, Yu. V. Prokhorov, A. T. Fomenko, V. N. Chubarikov, I. R. Shafarevich, “Sergei Mikhailovich Voronin (obituary)”, Russian Math. Surveys, 53:4 (1998), 777–781
1997
149.
A. V. Bolsinov, A. T. Fomenko, “On the dimension of the space of integrable Hamiltonian systems with two degrees of freedom”, Proc. Steklov Inst. Math., 216 (1997), 38–62
150.
Fomenko A.T., Matveev S.V., Algorithmic and computer methods for three-manifolds, Mathematics and its Applications, 425, Kluwer Academic Publishers, Dordrecht, 1997 , xii+334 pp.
151.
Fomenko A.T., Kunii T.L., Topological modeling for visualization, Springer-Verlag, Tokyo, 1997 , x+395 pp.
152.
Bolsinov A.V., Fomenko A.T., Vvedenie v topologiyu integriruemykh gamiltonovykh sistem, Nauka, M., 1997 , 352 pp.
1999
153.
J. Math. Sci. (New York), 94:4 (1999), 1512–1557
154.
J. Math. Sci. (New York), 94:4 (1999), 1457–1476
1996
155.
Bolsinov A.V., Fomenko A.T., “Application of classification theory for integrable Hamiltonian systems to geodesic flows on $2$-sphere and $2$-torus and to the description of the topological structure of momentum mapping near singular points”, Dynamical systems, 1, J. Math. Sci., 78:5 (1996), 542–555
Fomenko A.T., Metody matematicheskogo analiza istoricheskikh tekstov. Prilozheniya k khronologii, Nauka, M., 1996 , 478 pp. ; Fomenko A.T., Statistichka Khronologija. Matematichki pogled na istoriju. U kom smo veku?, Beograd, Yugoslaviya, 1997
157.
Nosovskii G.V., Fomenko A.T., “Matematiko-statisticheskie modeli raspredeleniya informatsii v istoricheskikh khronikakh”, Matematicheskie voprosy kibernetiki, 6, Nauka, fizmatlit, M., 1996, 71–116
1995
158.
Fomenko A.T., Symplectic geometry, Advanced Studies in Contemporary Mathematics, 5, Ed. 2, Gordon and Breach Publishers, Luxembourg, 1995 , xvi+467 pp.
159.
Bolsinov A.V., Fomenko A.T., Zhang Xingru, “The strong, semi-strong, and quasi-semi-strong bordism groups of integrable Hamiltonian systems of differential equations with two degrees of freedom”, Russian J. Math. Phys., 3:4 (1995), 423–452
160.
A. V. Bolsinov, A. T. Fomenko, “Orbital Classification of Geodesic Flows on Two-Dimensional Ellipsoids. The Jacobi Problem is Orbitally Equivalent to the Integrable Euler Case in Rigid Body Dynamics”, Funct. Anal. Appl., 29:3 (1995), 149–160
161.
A. V. Bolsinov, V. V. Kozlov, A. T. Fomenko, “The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body”, Russian Math. Surveys, 50:3 (1995), 473–501
162.
A. V. Bolsinov, A. T. Fomenko, “A criterion for the topological conjugacy of Hamiltonian flows on two-dimensional compact surfaces”, Russian Math. Surveys, 50:1 (1995), 193–194
163.
A. V. Bolsinov, A. T. Fomenko, “Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics”, Izv. Math., 59:1 (1995), 63–100
164.
Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., Datirovka zvezdnogo kataloga “Almagesta”. Statisticheskii i geometricheskii analiz, Izd-vo Faktorial, M., 1995
165.
Trofimov V.V., Fomenko A.T., Algebra i geometriya integriruemykh gamiltonovykh sistem differentsialnykh uravnenii, Izd-vo Faktorial, M.; iz-vo Udmurtskogo gos. un-ta “Prosperus”, 1995 , 448 pp.
N. S. Bakhvalov, S. P. Novikov, A. T. Fomenko, “Ol'ga Arsen'evna Oleinik (on her seventieth birthday)”, Russian Math. Surveys, 50:4 (1995), 837–848
170.
A. V. Bolsinov, A. T. Fomenko, “Unsolved problems in the theory of topological classification of integrable systems”, Proc. Steklov Inst. Math., 205 (1995), 17–27
1994
171.
Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Geometricheskie statisticheskie i tochnostnye svoistva zvezdnogo kataloga «Almagesta» i ego chastei: Datirovka po sobstvennym dvizheniyam zvezd”, Na rubezhakh poznaniya vselennoi. 1992, Istoriko-astronomicheskie issledovaniya, 24, Yanus, M., 1994, 142–163
1995
172.
Bolsinov A.V., Fomenko A.T., “The geodesic flow of an ellipsoid is orbitally equivalent to the Euler integrable case in the dynamics of a rigid body”, Russian Acad. Sci. Dokl. Math., 50:3 (1995), 412–417
1994
173.
Chacon R.V., Fomenko A.T., “Geometrical integration of the connection equation $X'=XK$ for $\mathrm{so}(3)$, ${\rm su}(2)$, $e(2)$, $\mathrm{sl}(2,\mathbf R)$ and $\mathrm{sl}(2,\mathbf R)^+$”, C. R. Math. Rep. Acad. Sci. Canada, 16:4 (1994), 113–148
174.
Fomenko A., Visual geometry and topology, Springer-Verlag, Berlin, 1994 , xvi+324 pp.
175.
A. V. Bolsinov, A. T. Fomenko, “Integrable geodesic flows on the sphere, generated by Goryachev–Chaplygin and Kowalewski systems in the dynamics of a rigid body”, Math. Notes, 56:2 (1994), 859–861
1995
176.
A. V. Bolsinov, A. T. Fomenko, “Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. II”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 21–63
177.
A. V. Bolsinov, A. T. Fomenko, “Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 421–465
1994
178.
A. T. Fomenko, “Preface”, New results in the theory of topological classification of integrable systems, Trudy Mat. Inst. Steklov., 205, Nauka, Moscow, 1994, 3
179.
Fomenko A.T., Empirico-Statistical Analysis of Narrative Material and its Applications to Historical Dating. Volume 1: The Development of the Statistical Tools, Volume 2: The Analysis of Ancient and Medieval Records, Kluwer Academic Publishers, The Netherlands, 1994
180.
Fomenko A.T., “Computers and visualization in hyperbolic three-dimensional geometry and topology: some open problems”, International Journal of Shape Modeling, 1:1 (1994), 41–62
181.
Nosovskii G.V., Fomenko A.T., “Statisticheskie issledovaniya sobytiinykh i biograficheskikh parallelei na materiale angliiskoi khronologii i istorii”, Semiotika i informatika, 34, VINITI, M., 1994, 205–233
1995
182.
A. V. Bolsinov, A. T. Fomenko, X. Zhang, “Three types bordisms of integrable systems with two degrees of freedom. Computation of bordism groups”, Proc. Steklov Inst. Math., 205 (1995), 29–62
1994
183.
Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., “Errata: “The dating of Ptolemy's Almagest based on the coverings of the stars and on lunar eclipses” [Acta Appl. Math. 29 (1992), no. 3, 281–298]”, Acta Appl. Math., 34:3 (1994), 353
184.
Novye rezultaty v teorii topologicheskoi klassifikatsii integriruemykh sistem, Sbornik statei, Tr. MIAN, 205, ed. A. T. Fomenko, E. F. Mischenko, Nauka, M., 1994 , 208 pp.
1993
185.
Fomenko A.T., “Linear-quadratic metrics “approximate” any nondegenerate, integrable Riemannian metric on the $2$-sphere and the $2$-torus”, Integrable systems (Luminy, 1991), Progr. Math., 115, Birkhäuser Boston, Boston, MA, 1993, 235–237
1994
186.
Bolsinov A.V., Fomenko A.T., “Orbital classification of simple integrable Hamiltonian systems on three- dimensional constant-energy surfaces”, Russian Acad. Sci. Dokl. Math., 48:2 (1994), 365–369
1993
187.
Fomenko A.T., “Rough classification of integrable Hamiltonians on four-dimensional symplectic manifolds”, From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), Springer, New York, 1993, 561–586
188.
Fomenko A.T., “Minimization of length, area, and volume. Some solved and some unsolved problems in the theory of minimal graphs and surfaces”, Minimal surfaces, Adv. Soviet Math., 15, Amer. Math. Soc., Providence, RI, 1993, 1–13
A. V. Bolsinov, A. T. Fomenko, “Trajectory classification of integrable systems of Euler type in the dynamics of a rigid body”, Russian Math. Surveys, 48:5 (1993), 165–166
191.
Fomenko A.T., Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, izd-vo MGU, M., 1993; Fomenko A., Visual Geometry and Topology, Springer Verlag, 1994
192.
Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., Geometrical and Statistical Methods of Analysis of Star Configurations. Dating Ptolemy's Almagest, CRC Press, USA, 1993
193.
Bolsinov A.V., Trofimov V.V., Fomenko A.T., “Nereshennye problemy v teorii topologicheskoi klassifikatsii integriruemykh gamiltonovykh sistem”, Trudy seminara po vektornomu i tenzornomu analizu, 25, no. 1, izd-vo MGU, M., 1993, 6–17
194.
Fomenko A.T., Globalnaya khronologiya. (Issledovaniya po istorii drevnego mira i srednikh vekov. Matematicheskie metody analiza istochnikov. Globalnaya khronologiya), izd-vo mekhaniko-matematicheskogo f-ta MGU, Moskva, 1993
V. V. Goldberg, A. M. Shelekhov, A. T. Fomenko, V. F. Kirichenko, V. V. Ryzhkov, “Maks Aizikovich Akivis (on the occasion of his 70th birthday and 50 years of scientific activity)”, Russian Math. Surveys, 48:3 (1993), 219–223
197.
V. V. Vishnevskii, B. N. Shapukov, A. P. Shirokov, M. A. Akivis, A. T. Fomenko, S. P. Novikov, Ya. G. Sinai, “Aleksandr Petrovich Norden (obituary)”, Russian Math. Surveys, 48:4 (1993), 185–187
1992
198.
Fomenko A.T., “Computer geometry and topological classification of integrable Hamiltonian differential equations: visualization of concrete physical examples”, Modern geometric computing for visualization (Tokyo, 1992), Springer, Tokyo, 1992, 3–10
199.
Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., “The dating of Ptolemy's Almagest based on the coverings of the stars and on lunar eclipses”, Acta Appl. Math., 29:3 (1992), 281–298
200.
Nosovskiĭ G.V., Fomenko A.T., “Identifying duplicates in chronological lists (the method of frequency histograms for the spread of related names)”, Stability problems for stochastic models, J. Soviet Math., 59:4 (1992), 980–991
201.
Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern geometry—methods and applications. Part I. The geometry of surfaces, transformation groups, and fields, Graduate Texts in Mathematics, 93, Ed. 2, Springer-Verlag, New York, 1992 , xvi+468 pp.
Ivanov A.O., Trofimov V.V., Tuzhilin A.A., Fomenko A.T., “Kompyuternye vychisleniya v geometricheskikh zadachakh SAPR”, Trudy seminara po vektornomu i tenzornomu analizu, 24, 1991, 70–80
203.
Fomenko A.T., “Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics”, Topological classification of integrable systems, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991, 305–345
204.
Fomenko A. T., Nguyen T. Z., “Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere”, Topological classification of integrable systems, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991, 267–296
205.
Fomenko A.T., “The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary [arbitrarily] many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom”, Topological classification of integrable systems, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991, 1–35
206.
Fomenko A.T., Tuzhilin A.A., Elements of the geometry and topology of minimal surfaces in three-dimensional space, Translations of Mathematical Monographs, 93, American Mathematical Society, Providence, RI, 1991 , viii+142 pp.
207.
Fomenko A. T., “Topological classification of all integrable Hamiltonian differential equations of general type with two degrees of freedom”, The geometry of Hamiltonian systems (Berkeley, CA, 1989), Math. Sci. Res. Inst. Publ., 22, Springer, New York, 1991, 131–339
Fomenko A.T., “A new topological invariant of topological Hamiltonian systems of differential equations and applications to problems in physics and mechanics”, Mechanics, analysis and geometry: 200 years after Lagrange, North-Holland Delta Ser., North-Holland, Amsterdam, 1991, 127–155
211.
Ðào Trọng Thi, Fomenko A.T., Minimal surfaces, stratified multivarifolds, and the Plateau problem, Translations of Mathematical Monographs, 84, American Mathematical Society, Providence, RI, 1991 , x+404 pp.
A. T. Fomenko, “A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds”, Funct. Anal. Appl., 25:4 (1991), 262–272
1992
213.
A. T. Fomenko, “A bordism theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of higher-dimensional integrable systems”, Math. USSR-Izv., 39:1 (1992), 731–759
1991
214.
Tuzhilin A.A., Fomenko A.T., Elementy geometrii i topologii minimalnykh poverkhnostei, izd-vo Nauka, Moskva, 1991 , 175 pp.
215.
Matveev S.V., Fomenko A.T., Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, izd-vo MGU, M., 1991 , 303 pp. ; Fomenko A.T., Matveev S.V., Algorithmical and computer methods in three-manifolds, Kluwer Academic Publishers, The Netherlands, 1997
1990
216.
Fomenko A. T., Kalashnikov V. V., Nosovskiĭ G. V., “Statistical analysis and dating of the observations on which Ptolemy's Almagest star catalogue is based”, Probability theory and mathematical statistics (Vilnius, 1989), v. I, “Mokslas”, Vilnius, 1990, 360–374
217.
Novikov S.P., Fomenko A.T., Basic elements of differential geometry and topology, Mathematics and its Applications (Soviet Series), 60, Kluwer Academic Publishers Group, Dordrecht, 1990 , x+490 pp.
Fomenko A.T., Mathematical impressions, With writing assistance and a preface by Richard Lipkin, American Mathematical Society, Providence, RI, 1990 , 184 pp.
219.
Fomenko A.T., Sharko V.V., “Exact round Morse functions, inequalities of Morse type and integrals of Hamiltonian systems [in Global analysis and nonlinear equations (Russian), 92–107, Voronezh. Gos. Univ., Voronezh, 1988]”, Global analysis—studies and applications, IV, Lecture Notes in Math., 1453, Springer, Berlin, 1990, 51–67
Fomenko A.T., “List of all integrable Hamiltonian systems of general type with two degrees of freedom. “Physical zone” in this table”, Integrable and superintegrable systems, World Sci. Publ., Teaneck, NJ, 1990, 134–164
Fomenko A.T., Variational problems in topology, The geometry of length, area and volume, Gordon and Breach Science Publishers, New York, 1990 , x+225 pp.
1991
222.
Kalashnikov V.V., Nosovskij G.V., Fomenko A.T., “Statistical analysis of the star catalogue “Almagest”.”, Soviet Math. Dokl., 42:1 (1991), 168–173
1990
223.
Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern geometry—methods and applications. Part III. Introduction to homology theory, Graduate Texts in Mathematics, 124, Springer-Verlag, New York, 1990 , x+416 pp.
Fomenko A.T., Variational principles of topology, Multidimensional minimal surface theory, Mathematics and its Applications (Soviet Series), 42, Kluwer Academic Publishers Group, Dordrecht, 1990 , xviii+374 pp.
225.
Fomenko A.T., The Plateau problem. Part II, v. 1, Studies in the Development of Modern Mathematics, The present state of the theory, Gordon and Breach Science Publishers, New York, 1990 , xii+251 pp.
226.
Fomenko A.T., The Plateau problem. Part I, v. 1, Studies in the Development of Modern Mathematics, Historical survey, Gordon and Breach Science Publishers, New York, 1990 , xii+220 pp.
227.
Nguyen Tien Zung, A. T. Fomenko, “Topological classification of integrable non-degenerate Hamiltonians on a constant energy three-dimensional sphere”, Russian Math. Surveys, 45:6 (1990), 109–135
1991
228.
A. T. Fomenko, H. Zieschang, “A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom”, Math. USSR-Izv., 36:3 (1991), 567–596
1990
229.
A. V. Bolsinov, S. V. Matveev, A. T. Fomenko, “Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity”, Russian Math. Surveys, 45:2 (1990), 59–94
230.
A. T. Fomenko, R. V. Chakon, “Recursion relations for homogeneous terms of a convergent series of the logarithm of a multiplicative integral on Lie groups”, Funct. Anal. Appl., 24:1 (1990), 41–49
Fomenko A.T., “Statisticheskaya khronologiya”, Matematika. Kibernetika. Novoe v zhizni, nauke, tekhnike, 7, Izd-vo “Znanie”, M., 1990, 1–45
233.
Fomenko A.T., Rachev S.T., “Volume functions of historical texts and the amplitude correlation principle”, Computers and the Humanities, 24 (1990), 187–206
Fomenko A.T., Metody statisticheskogo analiza narrativnykh tekstov i prilozheniya k khronologii. (Raspoznavanie i datirovka zavisimykh tekstov, statisticheskaya drevnyaya khronologiya, statistika drevnikh astronomicheskikh soobschenii), izd-vo MGU, M., 1990
1989
235.
Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., When was Ptolemy's star catalogue in “Almagest” compiled in reality?, Preprint No. 1989-04 / ISSN 0347-2809, Dept. of Math. Chalmers Univ. of Technology, The University of Goteborg, 1989
236.
Fomenko A.T., “Mathematical statistics and problems of ancient chronology. A new approach”, Acta Appl. Math., 17:3 (1989), 231–256
237.
Fomenko A. T., Kalashnikov V. V., Nosovsky G. V., “When was Ptolemy's star catalogue in Almagest compiled in reality? Statistical analysis”, Acta Appl. Math., 17:3 (1989), 203–229
Fomenko A.T., “Recognition of dependences and stratified structures in narrative texts”, Stability problems for stochastic models, J. Soviet Math., 47:5 (1989), 2783–2795
239.
Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., “Dating the Almagest by variable star configurations”, Soviet Phys. Dokl., 34:8 (1989), 666–668 (1990)
240.
Nosovskii G.V., Fomenko A.T., “Sloistye struktury i analiz zvezdnykh konfiguratsii”, Issledovaniya operatsii i ASU, 33, 1989, 59–75
241.
Fomenko A.T., Sharko V.V., “Exact round Morse functions, inequalities of Morse type and integrals of Hamiltonian systems”, Ukrainian Math. J., 41:6 (1989), 621–629 (1990)
242.
Fomenko A.T., “Visual and hidden symmetry in geometry”, Symmetry 2: unifying human understanding, Part 1, Comput. Math. Appl., 17:1-3 (1989), 301–320
A. T. Fomenko, “The symplectic topology of completely integrable Hamiltonian systems”, Russian Math. Surveys, 44:1 (1989), 181–219
244.
Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Statisticheskii analiz i datirovka nablyudenii, lezhaschikh v osnove zvezdnogo kataloga iz “Almagesta””, Tezisy dokladov. Pyataya Mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, v. 3, Institut matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1989, 271–272
245.
Nosovskii G.V., Fomenko A.T., “Postroenie mery blizosti i raspoznavanie dublikatov v khronologicheskikh spiskakh”, Tezisy dokladov. Pyataya Mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, v. 4, Institut matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1989, 111–112
246.
Fomenko A.T., Fuks D.B., Kurs gomotopicheskoi topologii, Nauka, M., 1989 , 496 pp.
247.
Rachev S.T., Fomenko A.T., “Funktsii ob'emov istoricheskikh tekstov i printsip amplitudnoi korrelyatsii”, Metody izucheniya istochnikov po istorii russkoi obschestvennoi mysli perioda feodalizma, Sbornik nauchnykh trudov, Institut istorii SSSR AN SSSR, M., 1989, 161–180
248.
Nosovskii G.V., Fomenko A.T., “Statisticheskie dublikaty v uporyadochennykh spiskakh s razbieniem”, Voprosy kibernetiki. Semioticheskie issledovaniya, Nauchnyi sovet po kompleksnoi probleme “Kibernetika”. AN SSSR, Moskva, 1989, 138–148
249.
Nosovskii G.V., Fomenko A.T., “Raspoznavanie dublikatov v khronologicheskikh spiskakh (metod gistogramm chastot razneseniya svyazannykh imen)”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1989, 112–125
1988
250.
Dubrovin B.A., Novikov S.P., Fomenko A.T., Geometria contemporanea. Metodi e applicazioni. Vol. II. Geometria e topologia delle varietà [Modern geometry. Methods and applications. Vol. II Geometry and topology of manifolds], Nuova Biblioteca di Cultura. [New Library of Culture], Editori Riuniti, Rome, 1988 , 367 pp. (Italian)
251.
Fomenko A.T., Symplectic geometry, Advanced Studies in Contemporary Mathematics, 5, Gordon and Breach Science Publishers, New York, 1988 , xiv+387 pp.
252.
Mishchenko A., Fomenko A., A course of differential geometry and topology, “Mir”, Moscow, 1988 , 455 pp.
253.
Fomenko A.T., Integrability and nonintegrability in geometry and mechanics, Mathematics and its Applications (Soviet Series), 31, Kluwer Academic Publishers Group, Dordrecht, 1988 , xvi+343 pp.
254.
Fomenko A.T., “Invariant portrait of Hamiltonian integrable in Liouville sense”, Topology and geometry—Rohlin Seminar, Lecture Notes in Math., 1346, Springer, Berlin, 1988, 57–76
Fomenko A.T., “Qualitative geometrical theory of integrable systems. Classification of isoenergetic surfaces and bifurcation of Liouville tori at the critical energy values”, Global analysis—studies and applications, III, Lecture Notes in Math., 1334, Springer, Berlin, 1988, 221–245
Van Le Khong, Fomenko A.T., “Volumes of minimal surfaces and the curvature tensor Riemannian manifolds”, Soviet Math. Dokl., 37:3 (1988), 817–820
257.
Fomenko A.T., Trofimov V.V., Integrable systems on Lie algebras and symmetric spaces, v. 2, Advanced Studies in Contemporary Mathematics, Gordon and Breach Science Publishers, New York, 1988 , xii+294 pp.
258.
Le Khong Van, Fomenko A.T., “Lagrangian manifolds and the Maslov index in the theory of minimal surfaces”, Soviet Math. Dokl., 37:2 (1988), 330–333
259.
A. T. Fomenko, “Topological invariants of Liouville integrable Hamiltonian systems”, Funct. Anal. Appl., 22:4 (1988), 286–296
260.
S. V. Matveev, A. T. Fomenko, “Morse-type theory for integrable Hamiltonian systems with tame integrals”, Math. Notes, 43:5 (1988), 382–386
1989
261.
A. T. Fomenko, H. Zieschang, “On typical topological properties of integrable Hamiltonian systems”, Math. USSR-Izv., 32:2 (1989), 385–412
262.
S. V. Matveev, A. T. Fomenko, V. V. Sharko, “Round Morse functions and isoenergy surfaces of integrable Hamiltonian systems”, Math. USSR-Sb., 63:2 (1989), 319–336
1988
263.
S. V. Matveev, A. T. Fomenko, “Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds”, Russian Math. Surveys, 43:1 (1988), 3–24
264.
Fomenko A.T., Simplekticheskaya geometriya. Metody i prilozheniya, izd-vo MGU, M., 1988 , 414 pp.
265.
Matveev S.V., Fomenko A.T., “Teoriya slozhnosti trekhmernykh mnogoobrazii, klass $H$ i giperbolicheskie struktury”, Vsesoyuznaya konferentsiya po geometricheskoi teorii funktsii, Tezisy dokladov, In-t matematiki SO AN SSSR, Novosibirsk, 1988, 67
266.
Fomenko A.T., Sharko V.V., “Tochnye kruglye funktsii Morsa, neravenstva tipa Morsa i integraly gamiltonovykh sistem”, Globalnyi analiz i nelineinye uravneniya, izd-vo Voronezhskogo un-ta, Voronezh, 1988, 92–107
267.
Nosovskii G.V., Fomenko A.T., “Nekotorye metody i rezultaty analiza peremeshannykh posledovatelnostei”, Trudy seminara po vektornomu i tenzornomu analizu, 23, izd-vo MGU, M., 1988, 104–121
268.
Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Geometriya podvizhnykh konfiguratsii zvezd i datirovka Almagesta”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1988, 59–78
269.
Fomenko A.T., “Empirico-Statistical Methods in Ordering Narrative Texts”, International Statistical Review, 56:3 (1988), 279–301
Dubrovin B.A., Novikov S.P., Fomenko A.T., Geometria contemporanea. Metodi e applicazioni. Vol. I. Geometria delle superfici, dei gruppi di trasformazioni e dei campi [Modern geometry. Methods and applications. Vol. I. The geometry of surfaces, transformation groups and fields], Nuova Biblioteca di Cultura. [New Library of Culture], Editori Riuniti, Rome, 1987 , 416 pp. (Italian)
272.
Fomenko A. T., “Duplicates in mixed sequences and a frequency duplication principle. Methods and applications”, Probability theory and mathematical statistics (Vilnius, 1985), v. I, VNU Sci. Press, Utrecht, 1987, 439–465
273.
Fomenko A.T., Differential geometry and topology, Contemporary Soviet Mathematics, Consultants Bureau, New York, 1987 , xiv+323 pp.
1989
274.
A. V. Brailov, A. T. Fomenko, “The topology of integral submanifolds of completely integrable Hamiltonian systems”, Math. USSR-Sb., 62:2 (1989), 373–383
1987
275.
V. V. Trofimov, A. T. Fomenko, “Geometric and algebraic mechanisms for the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras”, Dynamical systems – 7, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16, VINITI, Moscow, 1987, 227–299
276.
Le Khong Van, A. T. Fomenko, “Kriterii minimalnosti lagranzhevykh podmnogoobrazii v kelerovykh mnogoobraziyakh”, Matem. zametki, 42:4 (1987), 559–571
Fomenko A.T., Zieschang H., On typical topological properties of integrable Hamiltonian systems, Preprint Nr. 92/1987, Ruhr-Universitat, Bochum, Germany, 1987 , 47 pp.
279.
Dao Chong Tkhi, Fomenko A.T., Minimalnye poverkhnosti i problema Plato, Nauka, M., 1987 , 312 pp. ; Dao Trong Thi, A. T. Fomenko, Minimal Surfaces, Stratified Multivarifolds and the Plateau Problem, Translation of Mathematical Monographs, 84, Amer. Math. Soc., 1991 , 404 pp.
280.
Fomenko A.T., “Raspoznavanie zavisimostei i sloistykh struktur v narrativnykh tekstakh”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1987, 115–128
281.
Fomenko A.T., “Topologicheskie svoistva mnogomernykh ekstremalei funktsionala ob'ema i funktsionala Dirikhle”, Dopolnenie k kn.: Federer G., Geometricheskaya teoriya mery, Nauka, M., 1987, 720–753
282.
Morozova L.E., Fomenko A.T., “Kolichestvennye metody v “makrotekstologii” (na primere pamyatnikov “smuty” kontsa XVI – nachala XVII v.)”, Kompleksnye metody v izuchenii istoricheskikh protsessov, In-t Istorii SSSR. AN SSSR, M., 1987, 163–181
283.
Novikov S.P., Fomenko A.T., Elementy differentsialnoi geometrii i topologii, Nauka, M., 1987 , 432 pp. ; Novikov S.P., Fomenko A.T., Basic elements of differential geometry and topology, Kluwer Academic Publishers, The Netherlands, 1990 , 490 pp.
284.
Fomenko A.T., “New topological invariant of integrable Hamiltonians”, Baku International Topological Conference, Abstracts. Part 2, In-t matematiki AN SSSR, In-t matematiki i mekhaniki AN Azerb. SSR, Baku, 1987, 316
285.
Le Khong Van, Fomenko A.T., “Vliyanie krivizny mnogoobraziya na ob'emy ego minimalnykh podmnogoobrazii”, Vsesoyuznaya konferentsiya po geometrii “v tselom”, Tezisy, In-t matematiki SO AN SSSR, Novosibirsk, 1987, 70
286.
Fomenko A.T., “Kachestvennaya geometricheskaya teoriya integriruemykh sistem, klassifikatsiya izoenergeticheskikh poverkhnostei i bifurkatsii torov Liuvillya pri kriticheskikh znacheniyakh energii”, Geometriya i teoriya osobennostei v nelineinykh uravneniyakh, Novoe v globalnom analize, izd-vo Voronezhskogo un-ta, Voronezh, 1987, 118–139; Fomenko A.T., “Qualitative geometrical theory of integrable systems. Classification of isoenergetic surfaces and bifurcation of Liouville tori at the critical values”, Lecture Notes in Math., 1334, Springer-Verlag, 1988, 221–245
Fomenko A.T., Fuchs D.B., Gutenmacher V.L., Homotopic topology, Akadémiai Kiadó (Publishing House of the Hungarian Academy of Sciences), Budapest, 1986 , 310 pp.
289.
Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya. Metody i prilozheniya, vtoroe izdanie, Nauka, M., 1986 , 760 pp.
290.
Fomenko A.T., “Symmetries of soap films”, Symmetry: unifying human understanding, II, Comput. Math. Appl. Part B, 12, no. 3-4, 1986, 825–834
V. V. Trofimov, A. T. Fomenko, “The geometry of Poisson brackets and methods for integration, in the sense of Liouville, of systems on symmetric spaces”, J. Soviet Math., 39:3 (1987), 2683–2746
292.
A. T. Fomenko, “The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability”, Math. USSR-Izv., 29:3 (1987), 629–658
Fomenko A.T., “New empirico-statistical dating methods and statistics of certain astronomical data”, Tezisy Pervogo Vsemirnogo Kongressa Obschestva matematicheskoi statistiki i teorii veroyatnostei im. Bernulli, v. 2, Nauka, M., 1986, 892
295.
Fomenko A.T., “Nekotorye novye topologicheskie zadachi gamiltonovoi mekhaniki”, Geometriya, differentsialnye uravneniya i mekhanika, izd-vo MGU, M., 1986, 19–24
Fomenko A.T., Morozova L.E., “Nekotorye voprosy metodiki statisticheskoi obrabotki istochnikov s pogodnym izlozheniem”, Matematika v izuchenii srednevekovykh povestvovatelnykh istochnikov, Nauka, M., 1986, 107–129
1985
300.
Mishchenko A.S., Solovyev Yu.P., Fomenko A.T., Problems in differential geometry and topology, “Mir”, Moscow, 1985 , iv+208 pp.
301.
Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. 2-e partie, Géométrie et topologie des variétés. [Geometry and topology of manifolds], Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1985 , 371 pp. (French)
302.
Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. 1-re partie, Géométrie des surfaces, des groupes de transformations et des champs. [Geometry of surfaces, transformation groups and fields], Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1985 , 438 pp. (French)
303.
Dubrovin B. A., Fomenko A. T., Novikov S. P., Modern geometry—methods and applications. Part II. The geometry and topology of manifolds, Graduate Texts in Mathematics, 104, Springer-Verlag, New York, 1985 , xv+430 pp.
Fomenko A.T., “Informativnye funktsii i svyazannye s nimi statisticheskie zakonomernosti”, Uchenye zapiski po statistike. Statistika. Veroyatnost. Ekonomika, 49, Nauka, M., 1985, 335–342
305.
Fomenko A.T., “Simmetricheskie prostranstva i integrirovanie nekotorykh gamiltonovykh sistem”, Prilozhenie k kn.: O. Loos, Simmetricheskie prostranstva, Nauka, M., 1985, 183–201
306.
Fomenko A.T., “Dublikaty v peremeshannykh posledovatelnostyakh i printsip zatukhaniya chastot”, Tezisy dokladov 4-i Mezhdunarodnoi konferentsii po teorii veroyatnostei i matematicheskoi statistike, v. 3, In-t matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1985, 246–248
307.
Fomenko A.T., Zieschang H., On the topology of three-dimensional manifolds arising in Hamiltonian mechanics, Preprint No. 55/1985, Ruhr Universitat, Bochum, Germany, 1985 , 10 pp.
308.
Fomenko A.T., “Topologiya trekhmernykh mnogoobrazii i integriruemye mekhanicheskie gamiltonovy sistemy”, V-i Tiraspolskii simpozium po obschei topologii i ee prilozheniyam, Kishinev, 1985, 235–237
Nosovskii G.V., Fomenko A.T., “Ob opredelenii iskhodnykh struktur v peremeshannykh posledovatelnostyakh”, Trudy seminara po vektornomu i tenzornomu analizu, 22, izd-vo MGU, M., 1985, 119–131
Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern geometry—methods and applications. Part I. The geometry of surfaces, transformation groups, and fields, Graduate Texts in Mathematics, 93, Springer-Verlag, New York, 1984 , xv+464 pp.
Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya. Chast 3. Metody teorii gomologii, Nauka, M., 1984 , 344 pp. ; Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern Geometry - Methods and Applications. Part III. Introduction to Homology Theory, Graduate Texts in Math., 124, Springer Verlag, 1990
45
317.
Fomenko A.T., Topologicheskie variatsionnye zadachi, izd-vo MGU, M., 1984 , 216 pp. ; Fomenko A.T., Variational Problems in Topology. The Geometry of Length, Area and Volume, Gordon and Breach Science Publishers, 1990 , 225 pp.
318.
Fomenko A.T., “Statisticheskaya metodika analiza zatukhaniya chastot v khronograficheskikh tekstakh i prilozheniya k globalnoi khronologii”, Issledovanie operatsii i ASU, 24, izd-vo Kievskogo un-ta, Kiev, 1984, 49–66
319.
Fomenko A.T., “Novaya empiriko-statisticheskaya metodika obnaruzheniya parallelizmov i datirovaniya dublikatov”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1984, 154–177
320.
Dao Chong Tkhi, Fomenko A.T., “Topologiya absolyutnykh minimumov funktsionalov tipa ob'ema i funektsionala Dirikhle”, Sovremennye voprosy veschestvennogo i kompleksnogo analiza, In-t matematiki AN USSR, Kiev, 1984, 40–64; Dao Chong Tkhi and A. T. Fomenko, “Topology of Absolute Minima of Functionals of Volume Type and the Dirichlet Functional”, Amer. Math. Soc. Transl. (2), 145 (1989), 93–108
321.
Fomenko A.T., “Chastotnye matritsy i ikh primenenie dlya statisticheskoi obrabotki narrativnykh istochnikov”, Tezisy dokladov soveschaniya “Kompleksnye metody v izuchenii istorii s drevneishikh vremen do nashikh dnei”, In-t Istorii SSSR. AN SSSR. Komissiya po primeneniyu metodov estestvennykh nauk v arkheologii, M., 1984, 135–136
322.
Fomenko A.T., “Indeksy minimalnykh i garmonicheskikh poverkhnostei”, Metody topologii i rimanovoi geometrii v matematicheskoi fizike, izd-vo Vilnyusskogo un-ta, Vilnyus, 1984, 95–108
323.
Fomenko A.T., “O probleme Puankare”, Nauka i chelovechestvo, Mezhdunarodnyi ezhegodnik. Razdel “Letopis nauki”, 1984, 301–305
324.
Fomenko A.T., “Plato mnogomernaya zadacha”, Matematicheskaya entsiklopediya, v. 4, M., 1984, 303–307
1983
325.
Fomenko A. T., “The integrability of some Hamiltonian systems”, Ann. Global Anal. Geom., 1:2 (1983), 1–10
V. V. Trofimov, A. T. Fomenko, “Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems”, Funct. Anal. Appl., 17:1 (1983), 23–29
327.
Fomenko A.T., “Novaya empiriko-statisticheskaya metodika uporyadocheniya tekstov i prilozheniya k zadacham datirovki”, Doklady AN SSSR, 268:6 (1983), 1322–1327
328.
Fomenko A.T., “O skorosti rosta i o naimenshikh ob'emakh globalno minimalnykh poverkhnostei v kobordizmakh”, Trudy seminara po vektornomu i tenzornomu analizu, 21, izd-vo MGU, M., 1983, 3–12
329.
Fomenko A.T., “O geometrii raspredeleniya tselykh tochek v giperoblastyakh”, Trudy seminara po vektornomu i tenzornomu analizu, 21, izd-vo MGU, M., 1983, 106–152
330.
Trofimov V.V., Fomenko A.T., “Gruppovye neinvariantnye simplekticheskie struktury i gamiltonovy potoki na simmetricheskikh prostranstvakh”, Trudy seminara po vektornomu i tenzornomu analizu, 21, izd-vo MGU, M., 1983, 23–83; Trofimov V.V., Fomenko A.T., “Noninvariant symplectic group structures and Hamiltonian flows on symmetric spaces”, Selecta Matematica Sovietica, 7:4 (1988), 355–414
331.
Fomenko A.T., “Avtorskii invariant russkikh literaturnykh tekstov”, Metody kachestvennogo analiza tekstov narrativnykh istochnikov, In-t Istorii SSSR, AN SSSR, M., 1983, 86–109
332.
Fomenko A.T., “Algebraicheskaya struktura nekotorykh integriruemykh gamiltonovykh sistem”, Topologicheskie i geometricheskie metody v matematicheskoi fizike, Novoe v globalnom analize, izd-vo Voronezhskogo un-ta, Voronezh, 1983, 84–110; Fomenko A.T., “Algebraic structure of certain integrable Hamiltonian systems”, Global Analysis - Studies and Applications. 1, Lecture Notes in Math., 1108, Springer-Verlag, 1984, 103–127
2
333.
Fomenko A.T., Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, izd-vo MGU, M., 1983 ; Fomenko A.T., Differential geometry and topology, Ser. Contemporary Soviet Mathematics, Plenum Publ. Corporation, Consultants Bureau–New York–London, 1987
334.
Fomenko A.T., “On absolute minima of a volume functional on Riemannian manifolds. Integration of Hamiltonian systems on Lie algebras”, Intern. Congress of Math. (Warszawa 1982), Short communications. Abstracts, v. 3, 1983, 17
335.
Fedorov V.V., Fomenko A.T., “Statisticheskaya otsenka khronologicheskoi blizosti istoricheskikh tekstov”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1983, 101–107; Fedorov V.V., Fomenko A.T., “Statistical estimation of chronological nearness of historical texts”, Journal of Soviet Math., 32:6 (1986), 668–675
Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. II, Géométrie et topologie des variétés. [Geometry and topology of manifolds], “Mir”, Moscow, 1982 , 371 pp. (French)
342.
Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. I, Géométrie des surfaces, des groupes de transformations et des champs. [Geometry of surfaces, groups of transformations and fields], “Mir”, Moscow, 1982 , 438 pp. (French)
343.
Fomenko A.T., “Vychislenie vtoroi proizvodnoi lunnoi elongatsii i statisticheskie zakonomernosti v raspredelenii nekotorykh astronomicheskikh dannykh”, Issledovanie operatsii i ASU, 20, izd-vo Kievskogo un-ta, Kiev, 1982, 98–113
Fomenko A.T., Variatsionnye metody v topologii, Nauka, M., 1982 , 344 pp. ; Fomenko A.T., Variational Principles in Topology (Multidimensional Minimal Surface Theory), Kluwer Academic Publishers, 1990 , 374 pp.
Fomenko A.T., “K voprosu o mistifikatsiyakh”, Tekhnika i nauka, 1982, no. 11, 26–29
350.
Fomenko A.T., “Minimalnoe mnozhestvo”, Matematicheskaya entsiklopediya, v. 3, M., 1982, 690
1981
351.
A. T. Fomenko, “Multi-dimensional variational methods in the topology of extremals”, Russian Math. Surveys, 36:6 (1981), 127–165
1982
352.
A. T. Fomenko, “On minimal volumes of topological globally minimal surfaces in cobordisms”, Math. USSR-Izv., 18:1 (1982), 163–183
353.
A. T. Fomenko, “On symplectic structures and integrable systems on symmetric spaces”, Math. USSR-Sb., 43:2 (1982), 235–250
1981
354.
Mischenko A.S., Fomenko A.T., “Integrirovanie gamiltonovykh sistem s nekommutativnymi simmetriyami”, Trudy seminara po vektornomu i tenzornomu analizu, 20, izd-vo MGU, M., 1981, 5–54
355.
Fomenko A.T., “Informativnye funktsii i svyazannye s nimi statisticheskie zakonomernosti”, Tezisy dokladov 3-i Mezhdunarodnoi Vilnyusskoi konferentsii po teorii veroyatnostei i matematicheskoi statistike, v. 2, In-t matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1981, 211–212
356.
Fomenko A.T., “Metodika raspoznavaniya dublikatov i nekotorye prilozheniya”, Doklady AN SSSR, 258:6 (1981), 1326–1330
357.
Trofimov V.V., Fomenko A.T., “O realizatsii mekhanicheskikh sistem na orbitakh razreshimykh algebr Li”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 1981, no. 3, 163
358.
Fomenko A.T., “O svoistvakh vtoroi proizvodnoi lunnoi elongatsii i svyazannykh s nei statisticheskikh zakonomernostyakh”, Voprosy vychislitelnoi i prikladnoi matematiki, 63, Redaktsionno-Izdatelskii Sovet AN Uzb.SSR, Tashkent, 1981, 136–150
359.
Fomenko A.T., “The jump of the second derivative of the Moon's elongation”, Celestial mechanics, 29 (1981), 33–40
Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, izd-vo MGU, M., 1981 ; Mishchenko A.S., Solovyev Yu.P., Fomenko A.T., Problems in Differential Geometry and Topology, MIR Publishers, Moscow, 1985
361.
Fomenko A.T., Novye eksperimentalno-statisticheskie metodiki datirovaniya drevnikh sobytii i prilozheniya k globalnoi khronologii drevnego i srednevekovogo mira, Preprint. Zak. 3672. Lit. ot 9/XI - 81 g. No. BO7201, Gos. Komitet Televid. i Radiovesch., Moskva, 1981
362.
Fomenko A.T., “Algebraicheskaya struktura nekotorykh klassov vpolne integriruemykh gamiltonovykh sistem na algebrakh Li”, Geometricheskaya teoriya funktsii i topologiya, In-t matematiki AN USSR, Kiev, 1981, 85–126
Fomenko A.T., “Nekotorye statisticheskie zakonomernosti raspredeleniya plotnosti informatsii v tekstakh so shkaloi”, Semiotika i informatika, 15, VINITI, M., 1980, 99–124
366.
Postnikov M.M., Fomenko A.T., Novye metodiki statisticheskogo analiza narrativno-tsifrovogo materiala drevnei istorii, Preprint, AN SSSR, Nauchnyi Sovet po kompleksnoi probleme “Kibernetika”, M., 1980 , 36 pp.
367.
Fomenko A.T., “Gruppovye simplekticheskie struktury na odnorodnykh prostranstvakh”, Doklady AN SSSR, 253:5 (1980), 1062–1067
Mischenko A.S., Fomenko A.T., Kurs differentsialnoi geometrii i topologii, izd-vo MGU, M., 1980 , 440 pp. ; Mishchenko A., Fomenko A., A Course of Differential Geometry and Topology, MIR Publishers, Moscow, 1988
A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112
1979
373.
Mischenko A.S., Fomenko A.T., “Integriruemost uravnenii Eilera na poluprostykh algebrakh Li”, Trudy seminara po vektornomu i tenzornomu analizu, no. 19, izd-vo MGU, M., 1979, 3–94; Mishchenko A.S., Fomenko A.T., “Integrability of Euler Equations on Semisimple Lie Algebras”, Sel. Math. Sov., 2, no. 3, 1982, 207–291.
374.
Mischenko A.S., Fomenko A.T., S*-algebry i K-teoriya, Shkola po teorii operatorov v funktsionalnykh prostranstvakh (Preprint), SO AN SSSR, In-t matematiki, Novosibirsk, 1979
375.
Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya, Chasti 1, 2, Nauka, M., 1979 , 760 pp. ; Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern Geometry. Methods and Applications, Springer-Verlag , GTM 93, Part 1, 1984; GTM 104, Part 2, 1985; GTM 124, Part 3, 1990 ; Doubrovine B., Novikov S., Fomenko A., Géométrie Contemporaine. Méthodes et Applications. Premiere partie. Deuxieme partie, Editions de Moscou Mir, 1982
1978
376.
A. S. Mishchenko, A. T. Fomenko, “Generalized Liouville method of integration of Hamiltonian systems”, Funct. Anal. Appl., 12:2 (1978), 113–121
377.
A. S. Mishchenko, A. T. Fomenko, “Euler equations on finite-dimensional Lie groups”, Math. USSR-Izv., 12:2 (1978), 371–389
378.
Fomenko A.T., “Mnogomernye zadachi Plato na rimanovykh mnogoobraziyakh i ekstraordinarnye teorii gomologii i kogomologii. Chast 2”, Trudy seminara po vektornomu i tenzornomu analizu, 18, izd-vo MGU, M., 1978, 4–93
379.
Volodin I.A., Fomenko A.T., “Mnogoobraziya. Uzly. Algoritmy”, Trudy seminara po vektornomu i tenzornomu analizu, no. 18, izd-vo MGU, M., 1978, 94–128; Volodin I.A., Fomenko A.T., “Manifolds. Knots and Algorithms”, Sel. Math. Sov., 3, no. 4, 1983, 311–341
380.
Mischenko A.S., Fomenko A.T., “Nekommutativnoe integrirovanie gamiltonovykh sistem i ego prilozheniya”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 1978, no. 4, 187–188
381.
Novikov S.P., Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach “Differentsialnaya geometriya i topologiya”, izd-vo MGU, M., 1978
Fomenko A.T., “Multidimensional Plateau problem on Riemannian manifolds. On the problem of the algorithmical recognizability of the standard three-dimensional sphere”, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), v. 1, Canad. Math. Congress, Montreal, Que., 1975, 515–523
1974
387.
I. A. Volodin, V. E. Kuznetsov, A. T. Fomenko, “The problem of discriminating algorithmically the standard three-dimensional sphere”, Russian Math. Surveys, 29:5 (1974), 71–172
388.
Fomenko A.T., “Mnogomernye zadachi Plato na rimanovykh mnogoobraziyakh. Chast 1”, Trudy seminara po vektornomu i tenzornomu analizu, 17, izd-vo MGU, M., 1974, 3–176
A. T. Fomenko, “Geometric variational problems”, J. Soviet Math., 3:2 (1975), 185–197
1973
391.
A. T. Fomenko, “The multidimensional plateau problem in Riemannian varieties”, Math. Notes, 13:1 (1973), 94–97
1972
392.
A. T. Fomenko, “The multidimensional Plateau problem in Riemannian manifolds”, Math. USSR-Sb., 18:3 (1972), 487–527
393.
A. T. Fomenko, “Minimal compacta in riemannian manifolds and Reifenberg's conjecture”, Math. USSR-Izv., 6:5 (1972), 1037–1066
394.
Fomenko A.T., “Vpolne geodezicheskie modeli tsiklov”, Trudy seminara po vektornomu i tenzornomu analizu, 16, izd-vo MGU, M., 1972, 14–98
395.
Fomenko A.T., “Mnogomernaya zadacha Plato na rimanovykh mnogoobraziyakh”, Tezisy VI Vsesoyuznoi topologicheskoi konferentsii, Matem. in-t im. V. A. Steklova, Matem. in-t im. A. M. Razmadze, Tbilisi, 1972, 120
1971
396.
A. T. Fomenko, “Bott periodicity from the point of view of an $n$-dimensional Dirichlet functional”, Math. USSR-Izv., 5:3 (1971), 681–695
397.
Fomenko A.T., “Mnogomernaya zadacha Plato v ekstraordinarnykh teoriyakh gomologii i kogomologii”, Doklady AN SSSR, 200:4 (1971), 797–800
New results in the theory of topological classification of integrable systems, Trudy Mat. Inst. Steklov., 205, ed. A. T. Fomenko, E. F. Mishchenko, 1994, 208 с. http://mi.mathnet.ru/book1092