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Toponogov, Viktor Andreevich
Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 27

Number of views:
This page:2769
Abstract pages:5129
Full texts:2176

https://www.mathnet.ru/eng/person18682
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/216673

Publications in Math-Net.Ru Citations
1997
1. V. A. Toponogov, “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  mathnet  mathscinet  zmath; Siberian Math. J., 38:1 (1997), 179–185  isi 1
1996
2. V. A. Toponogov, “A uniqueness theorem for convex surfaces with no umbilical points and interrelated principal curvatures”, Sibirsk. Mat. Zh., 37:5 (1996),  1176–1180  mathnet  mathscinet  zmath; Siberian Math. J., 37:5 (1996), 1037–1040  isi 3
1995
3. V. A. Toponogov, “On conditions for existence of periodic solutions to a system of differential equations given integral characteristics”, Sibirsk. Mat. Zh., 36:5 (1995),  1157–1166  mathnet  mathscinet  zmath; Siberian Math. J., 36:5 (1995), 999–1008  isi 1
4. V. A. Toponogov, “On conditions for existence of umbilical points on a convex surface”, Sibirsk. Mat. Zh., 36:4 (1995),  903–910  mathnet  mathscinet  zmath; Siberian Math. J., 36:4 (1995), 780–786  isi 9
1994
5. V. A. Toponogov, “Cylinder theorems for convex hypersurfaces”, Sibirsk. Mat. Zh., 35:4 (1994),  915–918  mathnet  mathscinet  zmath; Siberian Math. J., 35:4 (1994), 815–817  isi 2
1993
6. V. A. Toponogov, “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  mathnet  mathscinet  zmath; Siberian Math. J., 34:4 (1993), 767–769  isi 2
7. V. A. Toponogov, “Surfaces of generalized constant width”, Sibirsk. Mat. Zh., 34:3 (1993),  179–189  mathnet  mathscinet  zmath; Siberian Math. J., 34:3 (1993), 555–565  isi 1
8. V. A. Toponogov, “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  mathnet  mathscinet  zmath; Siberian Math. J., 34:2 (1993), 350–352  isi 1
1989
9. V. B. Marenich, V. A. Toponogov, “Open manifolds of nonnegative curvature”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 21 (1989),  67–91  mathnet  mathscinet  zmath; J. Soviet Math., 55:6 (1991), 2115–2130 1
1987
10. S. A. Akbarov, V. A. Toponogov, “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  mathnet  mathscinet  zmath
1985
11. V. B. Marenich, V. A. Toponogov, “Open manifolds of nonnegative Ricci curvature with rapidly increasing volume”, Sibirsk. Mat. Zh., 26:4 (1985),  191–194  mathnet  mathscinet  zmath 1
12. A. I. Vedenyapin, E. D. Mazaev, V. A. Toponogov, “Extremal case of a theorem on the congruence of angles of a triangle”, Sibirsk. Mat. Zh., 26:1 (1985),  206–209  mathnet  mathscinet  zmath 1
1975
13. V. A. Toponogov, “Riemannian spaces with diameter equal to $\pi$”, Sibirsk. Mat. Zh., 16:1 (1975),  124–131  mathnet  mathscinet  zmath; Siberian Math. J., 16:1 (1975), 99–105  isi 3
1974
14. V. A. Toponogov, “Extremal theorems for Riemannian spaces with curvature bounded from above. I”, Sibirsk. Mat. Zh., 15:6 (1974),  1348–1371  mathnet  mathscinet  zmath; Siberian Math. J., 15:6 (1974), 954–971 7
1973
15. Yu. D. Burago, V. A. Toponogov, “On three-dimensional Riemannian spaces with curvature bounded above”, Mat. Zametki, 13:6 (1973),  881–887  mathnet  mathscinet  zmath; Math. Notes, 13:6 (1973), 526–530 5
1972
16. V. A. Toponogov, “A certain characteristic property of a four-dimensional symmetric space of rank 1”, Sibirsk. Mat. Zh., 13:4 (1972),  884–902  mathnet  mathscinet  zmath; Siberian Math. J., 13:4 (1972), 616–628 2
1970
17. V. A. Toponogov, “Theorems on minimizing paths in noncompact Riemannian spaces of positive curvature”, Dokl. Akad. Nauk SSSR, 191:3 (1970),  537–539  mathnet  mathscinet  zmath 1
1969
18. V. A. Toponogov, “Extremal theorems for Riemannian spaces with curvature bounded from above”, Dokl. Akad. Nauk SSSR, 184:2 (1969),  300–302  mathnet  mathscinet  zmath 1
19. V. A. Toponogov, “An isoperimetric inequality for surfaces whose Gaussian curvature is bounded from above”, Sibirsk. Mat. Zh., 10:1 (1969),  144–157  mathnet  mathscinet  zmath; Siberian Math. J., 10:1 (1969), 104–113 2
1967
20. V. A. Toponogov, “Some extremal theorems of Riemannian geometry”, Sibirsk. Mat. Zh., 8:5 (1967),  1079–1103  mathnet  mathscinet  zmath; Siberian Math. J., 8:5 (1967), 824–843 3
1964
21. V. A. Toponogov, “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  mathnet  mathscinet  zmath 1
22. V. A. Toponogov, “The metric structure of Riemannian spaces of non-negative curvature containing straight lines”, Sibirsk. Mat. Zh., 5:6 (1964),  1358–1369  mathnet  mathscinet  zmath 5
1963
23. V. A. Toponogov, “A bound for the length of a convex curve on a two-dimensional surface”, Sibirsk. Mat. Zh., 4:5 (1963),  1189–1193  mathnet  mathscinet  zmath 3
1960
24. V. A. Toponogov, “Relation between curvature and topological structure for Riemannean spaces of an even number of dimensions”, Dokl. Akad. Nauk SSSR, 133:5 (1960),  1031–1033  mathnet  mathscinet  zmath 3
1959
25. V. A. Toponogov, “Riemann spaces with curvature bounded below”, Uspekhi Mat. Nauk, 14:1(85) (1959),  87–130  mathnet  mathscinet  zmath 9
1958
26. V. A. Toponogov, “Riemannian spaces having their curvature bounded below by a positive number”, Dokl. Akad. Nauk SSSR, 120:4 (1958),  719–721  mathnet  mathscinet  zmath 1
1957
27. V. A. Toponogov, “On convexity of Riemannian spaces of-positive curvature”, Dokl. Akad. Nauk SSSR, 115:4 (1957),  674–676  mathnet  mathscinet  zmath 1
1989
28. A. D. Aleksandrov, I. A. Aleksandrov, Yu. E. Borovskii, Yu. G. Reshetnyak, V. V. Slukhaev, V. A. Toponogov, “Roman Nikolaevich Shcherbakov (obituary)”, Uspekhi Mat. Nauk, 44:1(265) (1989),  177–178  mathnet  mathscinet; Russian Math. Surveys, 44:1 (1989), 223–224  isi 1
29. A. D. Aleksandrov, Yu. F. Borisov, V. M. Gol'dstein, S. L. Krushkal', V. I. Kuz'minov, S. S. Kutateladze, V. A. Toponogov, “Yurii Grigor'evich Reshetnyak (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 30:5 (1989),  3–8  mathnet  mathscinet 1
1987
30. Yu. F. Borisov, V. I. Kuz'minov, S. S. Kutateladze, Yu. G. Reshetnyak, S. L. Sobolev, V. A. Toponogov, “Academician Aleksandr Danilovich Aleksandrov (on the occasion of his seventy-fifth birthday)”, Sibirsk. Mat. Zh., 28:4 (1987),  3–8  mathnet  mathscinet  zmath 1
1982
31. N. N. Blinov, R. S. Saks, S. L. Sobolev, V. A. Toponogov, S. V. Uspenskii, “Soviet-Hungarian Symposium on Differential Equations, Theory of Approximation, and Topology”, Uspekhi Mat. Nauk, 37:4(226) (1982),  221–223  mathnet

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