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Publications in Math-Net.Ru |
Citations |
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2017 |
1. |
A. K. Rybnikov, “Differential-geometric structure associated with Lagrangian and its dynamic interpretation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 24–36 ; Russian Math. (Iz. VUZ), 61:3 (2017), 20–30 |
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2013 |
2. |
A. K. Rybnikov, “An affine interpretation of Bäcklund maps”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7, 31–44 ; Russian Math. (Iz. VUZ), 57:7 (2013), 27–38 |
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2011 |
3. |
A. K. Rybnikov, “Differential-geometric structures defining higher order contact transformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 70–89 ; Russian Math. (Iz. VUZ), 55:9 (2011), 58–75 |
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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 |
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2010 |
5. |
A. K. Rybnikov, “Bäcklund maps and Lie–Bäcklund transformations as differential-geometric structures”, Fundam. Prikl. Mat., 16:1 (2010), 135–150 ; J. Math. Sci., 177:4 (2011), 607–618 |
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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 |
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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, no. 9, 50–70 ; Russian Math. (Iz. VUZ), 51:9 (2007), 45–64 |
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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, no. 5, 52–68 ; Russian Math. (Iz. VUZ), 48:5 (2004), 49–64 |
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1999 |
9. |
A. K. Rybnikov, “Special connections that determine the zero curvature representation for second-order evolution equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 9, 32–41 ; Russian Math. (Iz. VUZ), 43:9 (1999), 29–38 |
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1995 |
10. |
A. K. Rybnikov, “On the geometry of pseudopotentials of evolution equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 5, 55–67 ; Russian Math. (Iz. VUZ), 39:5 (1995), 50–62 |
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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, no. 2, 44–49 ; 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, no. 2, 79–85 |
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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, no. 2, 3–14 |
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1991 |
14. |
A. K. Rybnikov, “The geometry of the solutions of a third-order partial differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 3, 49–53 ; 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, no. 2, 80–82 |
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1988 |
16. |
A. K. Rybnikov, “A special type of second-order differential-geometric structures ($T$-connections)”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10, 33–40 ; Soviet Math. (Iz. VUZ), 32:10 (1988), 46–56 |
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1986 |
17. |
A. K. Rybnikov, “Projective and conformal normals and connections”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 1, 60–69 ; Soviet Math. (Iz. VUZ), 30:1 (1986), 80–91 |
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1984 |
18. |
A. K. Rybnikov, “Realization of second-order affine connections”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 3, 41–46 |
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1983 |
19. |
A. K. Rybnikov, “Second-order generalized affine connections”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 1, 73–80 ; Soviet Math. (Iz. VUZ), 27:1 (1983), 84–93 |
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1981 |
20. |
A. K. Rybnikov, “Affine connections of second order”, Mat. Zametki, 29:2 (1981), 279–290 ; Math. Notes, 29:2 (1981), 143–149 |
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1974 |
21. |
A. K. Rybnikov, “Affine connections that are induced on multidimensional surfaces in an affine space”, Tr. Geom. Sem., 6 (1974), 135–155 |
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1970 |
22. |
A. P. Norden, A. K. Rybnikov, “Conformally Euclidean connections of the second affine embeddability class”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 5, 62–63 |
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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 |
24. |
A. K. Rybnikov, “Torsion-free affinely connected spaces of class one”, Mat. Sb. (N.S.), 58(100):4 (1962), 423–438 |
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1961 |
25. |
A. K. Rybnikov, “Symmetric spaces of affine connection of class I”, Dokl. Akad. Nauk SSSR, 140:1 (1961), 59–61 |
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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 |
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, no. 5, 69–70 |
28. |
V. N. Chubarikov, S. S. Demidov, A. K. Rybnikov, “Konstantin Alekseevich Rybnikov (1913 – 2004)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 69–71 |
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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, no. 4, 67–69 |
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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, no. 6, 88–90 |
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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, no. 5, 97–100 |
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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, no. 1, 94–97 |
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