Victor Andreevich Toponogov | Academic Influence

Victor Andreevich Toponogov's AcademicInfluence.com Rankings

Victor Andreevich Toponogov

Mathematics

#2623

World Rank

#4015

Historical Rank

Measure Theory

#5711

World Rank

#6809

Historical Rank

mathematics Degrees

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Mathematics

Victor Andreevich Toponogov's Degrees

PhD Mathematics Moscow State University

Why Is Victor Andreevich Toponogov Influential?

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According to Wikipedia, Victor Andreevich Toponogov was an outstanding Russian mathematician, noted for his contributions to differential geometry and so-called Riemannian geometry "in the large". Biography After finishing secondary school in 1948, Toponogov entered the department of Mechanics and Mathematics at Tomsk State University, graduated with honours in 1953, and continued as a graduate student there until 1956. He moved to an institution in Novosibirsk in 1956 and lived in that city for the rest of his career. Since the institution at Novosibirsk had not yet been fully credentialed, he had defended his Ph.D. thesis at Moscow State University in 1958, on a subject in Riemann spaces. Novosibirsk State University was established in 1959. In 1961 Toponogov became a professor at a newly created Institute of Mathematics and Computing in Novosibirsk affiliated with the state university.

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Victor Andreevich Toponogov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Differential geometry of curves and surfaces (2006) (148)
Differential Geometry of Curves and Surfaces: A Concise Guide (2005) (96)
On three-dimensional Riemannian spaces with curvature bounded above (1973) (15)
On conditions for existence of umbilical points on a convex surface (1995) (13)
Open manifolds of nonnegative Ricci curvature with rapidly increasing volume (1985) (13)
An isoperimetric inequality for surfaces whose Gaussian curvature is bounded above (1969) (9)
Extremal theorems for Riemann spaces with curvature bounded above. I (1974) (7)
Cylinder theorems for convex hypersurfaces (1994) (4)
Great sphere foliations and manifolds with curvature bounded above (1996) (4)
Open manifolds of nonnegative curvature (1991) (3)
A characteristic property of a four-dimensional symmetric space of rank I (1972) (3)
Surfaces of generalized constant width (1993) (3)
Some extremal theorems in riemannian geometry (1967) (2)
A uniqueness theorem for convex surfaces with no umbilical points and interrelated principal curvatures (1996) (2)
Roman Nikolaevich Shcherbakov (obituary) (1989) (2)
A uniqueness theorem for a surface with principal curvatures connected by the relation (1−k1d)(1−k2d)=−1 (1993) (2)
Riemannian spaces of diameter π (1975) (1)
Twenty-Two Papers on Algebra, Number Theory and Differential Geometry (1964) (1)
A simple model for oscillations in a chain-branching reaction (1984) (0)
A condition sufficient for nonexistence of a cycle in a two-dimensional system quadratic in one of the variables (1992) (0)
Thirty-One Invited Addresses (Eight in Abstract) at the International Congress of Mathematicians in Moscow, 1966 (1968) (0)
On conditions for existence of periodic solutions to a system of differential equations given integral characteristics (1995) (0)
The Cheeger-Gromoll theorem for one class of open Riemannian manifolds with curvature nonnegative in the integral sense (1997) (0)

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