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
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., 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.
A. S. Mishchenko, A. T. Fomenko, “Generalized Liouville method of integration of Hamiltonian systems”, Funct. Anal. Appl., 12:2 (1978), 113–121
4.
A. S. Mishchenko, A. T. Fomenko, “Euler equations on finite-dimensional Lie groups”, Math. USSR-Izv., 12:2 (1978), 371–389
5.
A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112
6.
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.
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
8.
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
9.
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
10.
A. T. Fomenko, “The symplectic topology of completely integrable Hamiltonian systems”, Russian Math. Surveys, 44:1 (1989), 181–219
11.
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
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
14.
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
15.
A. T. Fomenko, “Topological invariants of Liouville integrable Hamiltonian systems”, Funct. Anal. Appl., 22:4 (1988), 286–296
16.
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
17.
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable topological billiards and equivalent dynamical systems”, Izv. Math., 81:4 (2017), 688–733
18.
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
19.
A. T. Fomenko, V. V. Fokicheva, “Integrable billiards model important integrable cases of rigid body dynamics”, Doklady Mathematics, 92:3 (2015), 682–684
20.
A. T. Fomenko, H. Zieschang, “On typical topological properties of integrable Hamiltonian systems”, Math. USSR-Izv., 32:2 (1989), 385–412
21.
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, I. M. Nikonov, A. T. Fomenko, “Maximally symmetric cell decompositions of surfaces and their coverings”, Sb. Math., 199:9 (2008), 1263–1353
24.
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
25.
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.
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
47
27.
V. V. Trofimov, A. T. Fomenko, “Liouville integrability of Hamiltonian systems on Lie algebras”, Russian Math. Surveys, 39:2 (1984), 1–67
28.
Trofimov V.V., Fomenko A.T., “Metodika postroeniya gamiltonovykh potokov na simmetricheskikh prostranstvakh i integriruemost gidrodinamicheskikh sistem”, Doklady AN SSSR, 254:6 (1980), 1349–1353
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. 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
31.
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
32.
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
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. Fomenko, D. Fuchs, Homotopical Topology, Graduate Texts in Mathematics, 273, 2nd edition, Springer, 2016 , 627 pp.
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
37.
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
38.
A. V. Brailov, A. T. Fomenko, “The topology of integral submanifolds of completely integrable Hamiltonian systems”, Math. USSR-Sb., 62:2 (1989), 373–383
39.
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
40.
A.T.Fomenko, V.V.Vedyushkina, V.N.Zav’yalov, “Liouville Foliations of Topological Billiards with Slipping”, Russian Journal of Mathematical Physics, 28:1 (2021), 37-55
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
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
A. T. Fomenko, “Minimal compacta in riemannian manifolds and Reifenberg's conjecture”, Math. USSR-Izv., 6:5 (1972), 1037–1066
44.
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
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
47.
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
49.
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
51.
A. T. Fomenko, “On symplectic structures and integrable systems on symmetric spaces”, Math. USSR-Sb., 43:2 (1982), 235–250
52.
Vedyushkina, V.V., Fomenko, A.T., “Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases”, Dokl. Math., 103:1 (2021), 1-4
53.
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
54.
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
55.
S. V. Matveev, A. T. Fomenko, “Morse-type theory for integrable Hamiltonian systems with tame integrals”, Math. Notes, 43:5 (1988), 382–386
56.
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.
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
58.
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
59.
A. T. Fomenko, “The multidimensional Plateau problem in Riemannian manifolds”, Math. USSR-Sb., 18:3 (1972), 487–527
60.
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954
61.
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
62.
Chacon R.V., Fomenko A.T., “Recursion formulas for the Lie integral”, Adv. Math., 88:2 (1991), 200–257
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
66.
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
67.
A. T. Fomenko, “Multi-dimensional variational methods in the topology of extremals”, Russian Math. Surveys, 36:6 (1981), 127–165
68.
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
69.
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
70.
A. T. Fomenko, V. V. Vedyushkina, “Evolutionary force billiards”, Izv. Math., 86:5 (2022), 943–979
71.
A. T. Fomenko, V. A. Kibkalo, “Topology of Liouville foliations of integrable billiards on table-complexes”, European Journal of Mathematics, 8 (2022), 1392–1423
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
A. T. Fomenko, “Bott periodicity from the point of view of an $n$-dimensional Dirichlet functional”, Math. USSR-Izv., 5:3 (1971), 681–695
76.
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, “Ponizhenie stepeni integralov gamiltonovykh sistem s pomoschyu billiardov”, Doklady Akademii nauk, 486:2 (2019), 151–155
V. V. Trofimov, A. T. Fomenko, “Riemannian geometry”, J. Math. Sci. (New York), 109:2 (2002), 1345–1501
79.
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
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
81.
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
82.
Chacon R.V., Fomenko A.T., “Stokes' formula for Lie algebra valued connection and curvature forms”, Adv. Math., 88:2 (1991), 258–300
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
84.
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
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
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. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, “Computer modeling of curves and surfaces”, J. Math. Sci., 172:5 (2011), 663–689
90.
J. Math. Sci. (New York), 94:4 (1999), 1512–1557
91.
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
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
95.
J. Math. Sci. (New York), 94:4 (1999), 1457–1476
96.
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.
G. V. Belozerov, A. T. Fomenko, “Orbital invariants of billiards and linearly integrable geodesic flows”, Sb. Math., 215:5 (2024), 573–611
103.
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
104.
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
Fomenko A.T., Rachev S.T., “Volume functions of historical texts and the amplitude correlation principle”, Computers and the Humanities, 24 (1990), 187–206
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
108.
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
109.
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
2
110.
A. T. Fomenko, “Geometric variational problems”, J. Soviet Math., 3:2 (1975), 185–197
111.
Fomenko A.T., “Mnogomernaya zadacha Plato i osobye tochki minimalnykh kompaktov”, Doklady AN SSSR, 192:2 (1970), 293–296
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
118.
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
K.V. Shaitan, A.K. Shaitan, G.M. Kobelkov, A.T. Fomenko, M.P. Kirpichnikov, “Matematika v biologii - gde tochki rosta?”, Mezhdunarodnaya konferentsiya «Matematika v sozvezdii nauk». K yubileyu rektora MGU akademika Viktora Antonovicha Sadovnichego. Tezisy dokladov (Moskva, 1–2 aprelya 2024 g.), Izdatelstvo Moskovskogo universiteta, Moskva, 2024, 790–791 (to appear)
131.
S.V. Matveev, A.T. Fomenko, Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, Trudy vydayuschikhsya uchenykh MGU, 2-e izdanie, ispravlennoe, Izdatelstvo Moskovskogo universiteta, Moskva, 2024 , 302 pp.
132.
A.T. Fomenko, Variatsionnye metody v topologii, Trudy vydayuschikhsya uchenykh MGU, 2-e izdanie, ispravlennoe, Izd-vo Moskovskogo un-ta, Moskva, 2023 , 343 pp.
133.
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
134.
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
135.
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
136.
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
137.
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
138.
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
139.
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
140.
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
141.
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
142.
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
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
145.
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
146.
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
147.
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
E.A.Kudryavtseva, A.T.Fomenko, “Gruppy simmetrii pravilnykh funktsii Morsa na poverkhnostyakh”, Doklady RAN, seriya: matematika, 446:6 (2012), 615–617
150.
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
151.
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
156.
Fomenko A.T., Mishchenko A.S., A short course in differential geometry and topology, Cambridge Scientific Pub., Cambridge, UK, 2009 , xi+273 pp.
157.
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
158.
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
159.
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
160.
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
161.
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
162.
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
163.
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
164.
Bolsinov A.V., Fomenko A.T., Oshemkov A.A., Topological methods in the theory of integrable Hamiltonian systems, Cambridge Scientific Publishers, 2006
165.
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
166.
Golovanov N.N., Ilyutko D.P., Nosovskii G.V., Fomenko A.T., Kompyuternaya geometriya, Prikladnaya matematika i informatika, Izdatelskii tsentr “Akademiya”, Moskva, 2006
Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, pererabotannoe i dopolnennoe izdanie, Fizmatlit, Moskva, 2004
171.
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
172.
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
175.
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
176.
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
177.
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
178.
Fomenko A.T., Matematika i mif skvoz prizmu geometrii, Izd-vo Mosk. un-ta, M., 2001
179.
Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, Fizmatlit, M., 2001
180.
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.
181.
Fomenko A., “Minimal surfaces”, Quantum, 10:5 (2000), 4–7
182.
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
186.
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.
187.
Fomenko A.T., Metody statisticheskogo analiza istoricheskikh tekstov. Prilozheniya k khronologii, v. 1, 2, Izd-vo Kraft+Lean, Moskva, 1999
188.
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
189.
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
190.
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
191.
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
192.
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.
193.
Matveev S.V., Fomenko A.T., Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, vtoroe izdanie, pererabotannoe i dopolnennoe, Izd-vo Nauka, M., 1998
194.
Fomenko A.T., Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, vtoroe izdanie, pererabotannoe i dopolnennoe, Izd-vo MGU, M., 1998
195.
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.
196.
Fomenko A.T., Kunii T.L., Topological modeling for visualization, Springer-Verlag, Tokyo, 1997 , x+395 pp.
197.
Bolsinov A.V., Fomenko A.T., Vvedenie v topologiyu integriruemykh gamiltonovykh sistem, Nauka, M., 1997 , 352 pp.
198.
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
199.
Nosovskii G.V., Fomenko A.T., “Matematiko-statisticheskie modeli raspredeleniya informatsii v istoricheskikh khronikakh”, Matematicheskie voprosy kibernetiki, 6, Nauka, fizmatlit, M., 1996, 71–116
200.
Fomenko A.T., Symplectic geometry, Advanced Studies in Contemporary Mathematics, 5, Ed. 2, Gordon and Breach Publishers, Luxembourg, 1995 , xvi+467 pp.
201.
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
202.
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
203.
Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., Datirovka zvezdnogo kataloga “Almagesta”. Statisticheskii i geometricheskii analiz, Izd-vo Faktorial, M., 1995
204.
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.
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
207.
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
208.
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
209.
Fomenko A., Visual geometry and topology, Springer-Verlag, Berlin, 1994 , xvi+324 pp.
210.
A. T. Fomenko, “Preface”, New results in the theory of topological classification of integrable systems, Trudy Mat. Inst. Steklov., 205, Nauka, Moscow, 1994, 3
211.
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
212.
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
213.
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
214.
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
215.
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
216.
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
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
219.
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
220.
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
221.
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
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
224.
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
225.
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
226.
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
227.
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
228.
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
229.
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.
230.
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
231.
Tuzhilin A.A., Fomenko A.T., Elementy geometrii i topologii minimalnykh poverkhnostei, izd-vo Nauka, Moskva, 1991 , 175 pp.
232.
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
233.
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
234.
Fomenko A.T., Mathematical impressions, With writing assistance and a preface by Richard Lipkin, American Mathematical Society, Providence, RI, 1990 , 184 pp.
235.
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.
236.
Kalashnikov V.V., Nosovskij G.V., Fomenko A.T., “Statistical analysis of the star catalogue “Almagest”.”, Soviet Math. Dokl., 42:1 (1991), 168–173
237.
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.
238.
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.
239.
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.
Fomenko A.T., “Statisticheskaya khronologiya”, Matematika. Kibernetika. Novoe v zhizni, nauke, tekhnike, 7, Izd-vo “Znanie”, M., 1990, 1–45
242.
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
243.
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
244.
Fomenko A.T., “Mathematical statistics and problems of ancient chronology. A new approach”, Acta Appl. Math., 17:3 (1989), 231–256
245.
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
246.
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)
247.
Nosovskii G.V., Fomenko A.T., “Sloistye struktury i analiz zvezdnykh konfiguratsii”, Issledovaniya operatsii i ASU, 33, 1989, 59–75
248.
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
249.
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
250.
Fomenko A.T., Fuks D.B., Kurs gomotopicheskoi topologii, Nauka, M., 1989 , 496 pp.
251.
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
252.
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
253.
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
254.
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)
255.
Fomenko A.T., Symplectic geometry, Advanced Studies in Contemporary Mathematics, 5, Gordon and Breach Science Publishers, New York, 1988 , xiv+387 pp.
256.
Mishchenko A., Fomenko A., A course of differential geometry and topology, “Mir”, Moscow, 1988 , 455 pp.
257.
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.
258.
Van Le Khong, Fomenko A.T., “Volumes of minimal surfaces and the curvature tensor Riemannian manifolds”, Soviet Math. Dokl., 37:3 (1988), 817–820
259.
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.
260.
Fomenko A.T., Simplekticheskaya geometriya. Metody i prilozheniya, izd-vo MGU, M., 1988 , 414 pp.
261.
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
262.
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
263.
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
264.
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
265.
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)
266.
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
267.
Fomenko A.T., Differential geometry and topology, Contemporary Soviet Mathematics, Consultants Bureau, New York, 1987 , xiv+323 pp.
268.
Fomenko A.T., Zieschang H., On typical topological properties of integrable Hamiltonian systems, Preprint Nr. 92/1987, Ruhr-Universitat, Bochum, Germany, 1987 , 47 pp.
269.
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.
270.
Fomenko A.T., “Raspoznavanie zavisimostei i sloistykh struktur v narrativnykh tekstakh”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1987, 115–128
271.
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
272.
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
273.
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.
274.
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
275.
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
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.
278.
Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya. Metody i prilozheniya, vtoroe izdanie, Nauka, M., 1986 , 760 pp.
279.
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
280.
Fomenko A.T., “Nekotorye novye topologicheskie zadachi gamiltonovoi mekhaniki”, Geometriya, differentsialnye uravneniya i mekhanika, izd-vo MGU, M., 1986, 19–24
281.
Matveev S.V., Fomenko A.T., Sharko V.V., Kruglye funktsii Morsa i izoenergetichseskie poverkhnosti integriruemykh gamiltonovykh sistem, Preprint 76, In-t matematiki AN USSR, Kiev, 1986 , 32 pp.
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
284.
Mishchenko A.S., Solovyev Yu.P., Fomenko A.T., Problems in differential geometry and topology, “Mir”, Moscow, 1985 , iv+208 pp.
285.
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)
286.
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)
287.
Fomenko A.T., “Informativnye funktsii i svyazannye s nimi statisticheskie zakonomernosti”, Uchenye zapiski po statistike. Statistika. Veroyatnost. Ekonomika, 49, Nauka, M., 1985, 335–342
288.
Fomenko A.T., “Simmetricheskie prostranstva i integrirovanie nekotorykh gamiltonovykh sistem”, Prilozhenie k kn.: O. Loos, Simmetricheskie prostranstva, Nauka, M., 1985, 183–201
289.
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
290.
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.
291.
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
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.
296.
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
297.
Fomenko A.T., “Novaya empiriko-statisticheskaya metodika obnaruzheniya parallelizmov i datirovaniya dublikatov”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1984, 154–177
298.
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
299.
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
300.
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
301.
Fomenko A.T., “O probleme Puankare”, Nauka i chelovechestvo, Mezhdunarodnyi ezhegodnik. Razdel “Letopis nauki”, 1984, 301–305
302.
Fomenko A.T., “Novaya empiriko-statisticheskaya metodika uporyadocheniya tekstov i prilozheniya k zadacham datirovki”, Doklady AN SSSR, 268:6 (1983), 1322–1327
303.
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
304.
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
305.
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
306.
Fomenko A.T., “Avtorskii invariant russkikh literaturnykh tekstov”, Metody kachestvennogo analiza tekstov narrativnykh istochnikov, In-t Istorii SSSR, AN SSSR, M., 1983, 86–109
307.
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
308.
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
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)
313.
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)
314.
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
321.
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
322.
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
323.
Fomenko A.T., “Metodika raspoznavaniya dublikatov i nekotorye prilozheniya”, Doklady AN SSSR, 258:6 (1981), 1326–1330
324.
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
325.
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
326.
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
327.
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
328.
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
331.
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.
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
334.
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.
335.
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
336.
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
337.
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
338.
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
339.
Mischenko A.S., Fomenko A.T., “Nekommutativnoe integrirovanie gamiltonovykh sistem i ego prilozheniya”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 1978, no. 4, 187–188
340.
Novikov S.P., Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach “Differentsialnaya geometriya i topologiya”, izd-vo MGU, M., 1978
Mischenko A.S., Fomenko A.T., “Integrirovanie dinamicheskikh gamiltonovykh sistem na gruppakh Li”, Tezisy dokladov 7-oi Vsesoyuznoi topologicheskoi konferentsii, In-t matematiki AN BSSR, Minsk, 1977, 128
343.
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
344.
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
Fomenko A.T., “Vpolne geodezicheskie modeli tsiklov”, Trudy seminara po vektornomu i tenzornomu analizu, 16, izd-vo MGU, M., 1972, 14–98
347.
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
348.
Fomenko A.T., “Polinomy Puankare nekotorykh odnorodnykh prostranstv”, Trudy seminara po vektornomu i tenzornomu analizu, 15, izd-vo MGU, M., 1970, 128–152
G. V. Belozerov, A. T. Fomenko, “Orbital invariants of noncompact integrable systems with two degrees of freedom”, Moscow University Mathematics Bulletin, 80:2 (2025), 136–141
355.
G. V. Belozerov, A. T. Fomenko, “Generalized Jacobi–Chasles theorem in non-Euclidean spaces”, Sb. Math., 215:9 (2024), 1159–1181
356.
A. T. Fomenko, A. I. Shafarevich, V. A. Kibkalo, “Main recent directions and achievments of the Chair of Differential Geometry and Applications”, Moscow University Mathematics Bulletin, 79:6 (2024), 283–295
357.
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
358.
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
359.
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
360.
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
A.T. Fomenko, Simplekticheskaya geometriya. Metody i prilozheniya., 2-e izd., URSS, Moskva, 2022 , 408 pp.
368.
A. A. Tuzhilin, A. T. Fomenko, Elementy geometrii i topologii minimalnykh poverkhnostei, 2-e izd., stereotipnoe, URSS, Moskva, 2022 , 256 pp.
369.
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.
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
372.
A. S. Mischenko, A. T. Fomenko, Kurs differentsialnoi geometrii i topologii, 4-e izd., pererab. i dop., URSS, Moskva, 2020 , 504 pp.
373.
A. T. Fomenko, Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, Klassicheskii uchebnik MGU, 3-e izd., ispr. i dop., LELAND, URSS, Moskva, 2019 , 304 pp.
374.
A. T. Fomenko, Topologicheskie variatsionnye zadachi, Klassicheskii uchebnik MGU, 2-e izd., ispr. i dop., LELAND, URSS, Moskva, 2019 , 336 pp.
375.
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
376.
A. T. Fomenko, Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, 3-e izd., ispr. i dop., URSS, 2018 , 480 pp.
377.
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
378.
A. S. Mischenko, Yu. P. Solovev, A. T. Fomenko, Sbornik zadach po differentsialnoi geometrii i topologii, URSS, Moskva, 2016 , 416 pp.
379.
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
382.
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.
383.
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
384.
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
385.
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
386.
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
387.
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
388.
A.T.Fomenko, A.S.Mishchenko, Yu.P.Solovyev, Selected Problems in Differential Geometry and Topology, Cambridge Scientific Publishers, 2013
389.
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
390.
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
391.
A. T. Fomenko, Nelin. Dinam., 6:4 (2010), 891–892
392.
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
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
395.
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
396.
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
397.
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
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
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
403.
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
404.
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
Fomenko A.T., “Minimalnoe mnozhestvo”, Matematicheskaya entsiklopediya, v. 3, M., 1982, 690
410.
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
411.
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
412.
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
413.
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
414.
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
415.
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
416.
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.
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1.
Introduction A. T. Fomenko Differential geometry and applications October 20, 2025 16:45
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
