Rybnikov Aleksei Konstantinovich

Publications in Math-Net.Ru

1. Differential-geometric structure associated with Lagrangian and its dynamic interpretation
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3,  24–36
2. An affine interpretation of Bäcklund maps
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7,  31–44
3. Differential-geometric structures defining higher order contact transformations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9,  70–89
4. 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
5. Bäcklund maps and Lie–Bäcklund transformations as differential-geometric structures
   
   Fundam. Prikl. Mat., 16:1 (2010),  135–150
6. Bäcklund Maps in View of the Theory of Connections
   
   Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  93–115
7. Theory of connections, Cole–Hopf transformations and potentials of second-order partial differential equations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 9,  50–70
8. Ba̋cklund connections and Ba̋cklund transformations that correspond to second-order evolution equations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 5,  52–68
9. Special connections that determine the zero curvature representation for second-order evolution equations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 9,  32–41
10. On the geometry of pseudopotentials of evolution equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 5,  55–67
11. Zero curvature representations generated by the geometry of a second-order partial differential equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 2,  44–49
12. On the geometry of a second-order evolution equation
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 2,  79–85
13. The influence of Lobachevskii's ideas on the development of differential geometry
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 2,  3–14
14. The geometry of the solutions of a third-order partial differential equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 3,  49–53
15. 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
16. A special type of second-order differential-geometric structures ($T$-connections)
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10,  33–40
17. Projective and conformal normals and connections
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 1,  60–69
18. Realization of second-order affine connections
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 3,  41–46
19. Second-order generalized affine connections
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 1,  73–80
20. Affine connections of second order
    
    Mat. Zametki, 29:2 (1981),  279–290
21. Affine connections that are induced on multidimensional surfaces in an affine space
    
    Tr. Geom. Sem., 6 (1974),  135–155
22. Conformally Euclidean connections of the second affine embeddability class
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 5,  62–63
23. Spaces with an affine torsion-free connection of the first order
    
    Uspekhi Mat. Nauk, 17:2(104) (1962),  198–200
24. Torsion-free affinely connected spaces of class one
    
    Mat. Sb. (N.S.), 58(100):4 (1962),  423–438
25. Symmetric spaces of affine connection of class I
    
    Dokl. Akad. Nauk SSSR, 140:1 (1961),  59–61


26. Creative Path of Konstantin Alekseevich Rybnikov (18.08.1913–20.08.2004)
    
    Chebyshevskii Sb., 15:4 (2014),  148–179
27. 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. Konstantin Alekseevich Rybnikov (1913 – 2004)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4,  69–71
29. Памяти Константина Алексеевича Рыбникова (1913–2004)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 4,  67–69
30. 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
31. In memory of Anatolii Mikhailovich Vasil'ev (1923–1987)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 5,  97–100
32. To the memory of Nikolai Vladimirovich Efimov
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 1,  94–97