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Rybnikov, Aleksei Konstantinovich

Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 25

Number of views:
This page:1568
Abstract pages:3346
Full texts:1363
References:257
Associate professor
Candidate of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person19988
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/190041

Publications in Math-Net.Ru
2017
1. A. K. Rybnikov, “Differential-geometric structure associated with Lagrangian and its dynamic interpretation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 3,  24–36  mathnet; Russian Math. (Iz. VUZ), 61:3 (2017), 20–30  isi  scopus
2013
2. A. K. Rybnikov, “An affine interpretation of Bäcklund maps”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 7,  31–44  mathnet; Russian Math. (Iz. VUZ), 57:7 (2013), 27–38  scopus
2011
3. A. K. Rybnikov, “Differential-geometric structures defining higher order contact transformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 9,  70–89  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:9 (2011), 58–75  scopus
4. A. K. Rybnikov, “Creation of solitons for sine-Gordon and Korteweg–de Vries equations by means of connections defining the representations of zero curvature”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153:3 (2011),  72–80  mathnet
2010
5. A. K. Rybnikov, “Bäcklund maps and Lie–Bäcklund transformations as differential-geometric structures”, Fundam. Prikl. Mat., 16:1 (2010),  135–150  mathnet  mathscinet; J. Math. Sci., 177:4 (2011), 607–618  scopus
2009
6. A. K. Rybnikov, “Bäcklund Maps in View of the Theory of Connections”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  93–115  mathnet
2007
7. A. K. Rybnikov, “Theory of connections, Cole–Hopf transformations and potentials of second-order partial differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 9,  50–70  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 51:9 (2007), 45–64
2004
8. A. K. Rybnikov, K. V. Semenov, “Ba̋cklund connections and Ba̋cklund transformations that correspond to second-order evolution equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 5,  52–68  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 48:5 (2004), 49–64
1999
9. A. K. Rybnikov, “Special connections that determine the zero curvature representation for second-order evolution equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 9,  32–41  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:9 (1999), 29–38
1995
10. A. K. Rybnikov, “On the geometry of pseudopotentials of evolution equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 5,  55–67  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:5 (1995), 50–62
1994
11. A. K. Rybnikov, “Zero curvature representations generated by the geometry of a second-order partial differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 2,  44–49  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:2 (1994), 42–47
12. A. K. Rybnikov, “On the geometry of a second-order evolution equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, 2,  79–85  mathnet  mathscinet  zmath
13. L. E. Evtushik, A. K. Rybnikov, “The influence of Lobachevskii's ideas on the development of differential geometry”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, 2,  3–14  mathnet  mathscinet  zmath
1991
14. A. K. Rybnikov, “The geometry of the solutions of a third-order partial differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, 3,  49–53  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:3 (1991), 46–50
15. A. K. Rybnikov, “On the geometry induced by solutions of a third-order partial differential equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, 2,  80–82  mathnet  mathscinet  zmath
1988
16. A. K. Rybnikov, “A special type of second-order differential-geometric structures ($T$-connections)”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, 10,  33–40  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:10 (1988), 46–56
1986
17. A. K. Rybnikov, “Projective and conformal normals and connections”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, 1,  60–69  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:1 (1986), 80–91
1984
18. A. K. Rybnikov, “Realization of second-order affine connections”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, 3,  41–46  mathnet  mathscinet  zmath
1983
19. A. K. Rybnikov, “Second-order generalized affine connections”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, 1,  73–80  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:1 (1983), 84–93
1981
20. A. K. Rybnikov, “Affine connections of second order”, Mat. Zametki, 29:2 (1981),  279–290  mathnet  mathscinet  zmath; Math. Notes, 29:2 (1981), 143–149  isi
1974
21. A. K. Rybnikov, “Affine connections that are induced on multidimensional surfaces in an affine space”, Tr. Geom. Sem., 6 (1974),  135–155  mathnet  mathscinet  zmath
1970
22. A. P. Norden, A. K. Rybnikov, “Conformally Euclidean connections of the second affine embeddability class”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, 5,  62–63  mathnet  mathscinet  zmath
1962
23. A. K. Rybnikov, “Spaces with an affine torsion-free connection of the first order”, Uspekhi Mat. Nauk, 17:2(104) (1962),  198–200  mathnet
24. A. K. Rybnikov, “Torsion-free affinely connected spaces of class one”, Mat. Sb. (N.S.), 58(100):4 (1962),  423–438  mathnet  mathscinet  zmath
1961
25. A. K. Rybnikov, “Symmetric spaces of affine connection of class I”, Dokl. Akad. Nauk SSSR, 140:1 (1961),  59–61  mathnet  mathscinet  zmath

2014
26. S. S. Demidov, T. A. Laskovaya, A. K. Rybnikov, K. K. Rybnikov, “Creative Path of Konstantin Alekseevich Rybnikov (18.08.1913–20.08.2004)”, Chebyshevskii Sb., 15:4 (2014),  148–179  mathnet
27. V. A. Sadovnichii, V. N. Chubarikov, T. P. Lukashenko, V. I. Gavrilov, A. T. Fomenko, I. Kh. Sabitov, A. K. Rybnikov, “To memory of Leonid Evgen'evich Evtushik (25.05.1931–16.02.2013)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, 5,  69–70  mathnet
28. V. N. Chubarikov, S. S. Demidov, A. K. Rybnikov, “Konstantin Alekseevich Rybnikov (1913 – 2004)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, 4,  69–71  mathnet
2005
29. V. A. Sadovnichii, A. V. Mikhalev, O. B. Lupanov, V. N. Chubarikov, I. G. Bashmakova, S. S. Demidov, A. V. Dorofeeva, A. K. Rybnikov, V. M. Tikhomirov, I. A. Tyulina, V. S. Latyshev, “Памяти Константина Алексеевича Рыбникова (1913–2004)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, 4,  67–69  mathnet
1989
30. L. E. Evtushik, N. M. Ostianu, A. K. Rybnikov, “German Fedorovich Laptev (on the occasion of the 80th anniversary of his birth)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, 6,  88–90  mathnet  mathscinet  zmath
1988
31. L. E. Evtushik, O. B. Lupanov, S. P. Novikov, È. G. Poznyak, A. K. Rybnikov, “In memory of Anatolii Mikhailovich Vasil'ev (1923–1987)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, 5,  97–100  mathnet  mathscinet
1984
32. O. B. Lupanov, E. V. Maikov, È. G. Poznyak, A. K. Rybnikov, I. Kh. Sabitov, V. A. Sadovnichii, “To the memory of Nikolai Vladimirovich Efimov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, 1,  94–97  mathnet  mathscinet  zmath

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