Toponogov Viktor Andreevich

Publications in Math-Net.Ru

1. The Cheeger–Gromoll theorem for a class of open Riemannian manifolds of nonnegative curvature in the integral sense
   
   Sibirsk. Mat. Zh., 38:1 (1997),  208–216
2. A uniqueness theorem for convex surfaces with no umbilical points and interrelated principal curvatures
   
   Sibirsk. Mat. Zh., 37:5 (1996),  1176–1180
3. On conditions for existence of periodic solutions to a system of differential equations given integral characteristics
   
   Sibirsk. Mat. Zh., 36:5 (1995),  1157–1166
4. On conditions for existence of umbilical points on a convex surface
   
   Sibirsk. Mat. Zh., 36:4 (1995),  903–910
5. Cylinder theorems for convex hypersurfaces
   
   Sibirsk. Mat. Zh., 35:4 (1994),  915–918
6. A uniqueness theorem for a surface with principal curvatures connected by the relation $(1-k_1d)(1-k_2d)=-1$
   
   Sibirsk. Mat. Zh., 34:4 (1993),  197–199
7. Surfaces of generalized constant width
   
   Sibirsk. Mat. Zh., 34:3 (1993),  179–189
8. A condition sufficient for nonexistence of a cycle in a two-dimensional system quadratic in one of the variables
   
   Sibirsk. Mat. Zh., 34:2 (1993),  170–172
9. Open manifolds of nonnegative curvature
   
   Itogi Nauki i Tekhniki. Ser. Probl. Geom., 21 (1989),  67–91
10. A theorem on the congruence of the angles of a triangle for a class of Riemannian manifolds
    
    Trudy Inst. Mat. Sib. Otd. AN SSSR, 9 (1987),  16–25
11. Open manifolds of nonnegative Ricci curvature with rapidly increasing volume
    
    Sibirsk. Mat. Zh., 26:4 (1985),  191–194
12. Extremal case of a theorem on the congruence of angles of a triangle
    
    Sibirsk. Mat. Zh., 26:1 (1985),  206–209
13. Riemannian spaces with diameter equal to $\pi$
    
    Sibirsk. Mat. Zh., 16:1 (1975),  124–131
14. Extremal theorems for Riemannian spaces with curvature bounded from above. I
    
    Sibirsk. Mat. Zh., 15:6 (1974),  1348–1371
15. On three-dimensional Riemannian spaces with curvature bounded above
    
    Mat. Zametki, 13:6 (1973),  881–887
16. A certain characteristic property of a four-dimensional symmetric space of rank 1
    
    Sibirsk. Mat. Zh., 13:4 (1972),  884–902
17. Theorems on minimizing paths in noncompact Riemannian spaces of positive curvature
    
    Dokl. Akad. Nauk SSSR, 191:3 (1970),  537–539
18. Extremal theorems for Riemannian spaces with curvature bounded from above
    
    Dokl. Akad. Nauk SSSR, 184:2 (1969),  300–302
19. An isoperimetric inequality for surfaces whose Gaussian curvature is bounded from above
    
    Sibirsk. Mat. Zh., 10:1 (1969),  144–157
20. Some extremal theorems of Riemannian geometry
    
    Sibirsk. Mat. Zh., 8:5 (1967),  1079–1103
21. A bound for the length of a closed geodesic in a compact Riemannian space of positive curvature
    
    Dokl. Akad. Nauk SSSR, 154:5 (1964),  1047–1049
22. The metric structure of Riemannian spaces of non-negative curvature containing straight lines
    
    Sibirsk. Mat. Zh., 5:6 (1964),  1358–1369
23. A bound for the length of a convex curve on a two-dimensional surface
    
    Sibirsk. Mat. Zh., 4:5 (1963),  1189–1193
24. Relation between curvature and topological structure for Riemannean spaces of an even number of dimensions
    
    Dokl. Akad. Nauk SSSR, 133:5 (1960),  1031–1033
25. Riemann spaces with curvature bounded below
    
    Uspekhi Mat. Nauk, 14:1(85) (1959),  87–130
26. Riemannian spaces having their curvature bounded below by a positive number
    
    Dokl. Akad. Nauk SSSR, 120:4 (1958),  719–721
27. On convexity of Riemannian spaces of-positive curvature
    
    Dokl. Akad. Nauk SSSR, 115:4 (1957),  674–676


28. Roman Nikolaevich Shcherbakov (obituary)
    
    Uspekhi Mat. Nauk, 44:1(265) (1989),  177–178
29. Yurii Grigor'evich Reshetnyak (on the occasion of his sixtieth birthday)
    
    Sibirsk. Mat. Zh., 30:5 (1989),  3–8
30. Academician Aleksandr Danilovich Aleksandrov (on the occasion of his seventy-fifth birthday)
    
    Sibirsk. Mat. Zh., 28:4 (1987),  3–8
31. Soviet-Hungarian Symposium on Differential Equations, Theory of Approximation, and Topology
    
    Uspekhi Mat. Nauk, 37:4(226) (1982),  221–223