Definition of Toponogov. Meaning of Toponogov. Synonyms of Toponogov

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Definition of Toponogov

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Meaning of Toponogov from wikipedia

- the mathematical field of Riemannian geometry, Toponogov's theorem (named after Victor Andreevich Toponogov) is a triangle comparison theorem. It is one...
- Victor Andreevich Toponogov (Russian: Ви́ктор Андре́евич Топоно́гов; March 6, 1930 – November 21, 2004) was an outstanding Russian mathematician, noted...
- Cartan, Aleksandr Danilovich Aleksandrov and Victor Andreevich Toponogov (although Toponogov never explored curvature bounded above in publications). For...
- proved the theorem in the case of two-dimensional manifolds, and Victor Toponogov had extended Cohn-Vossen's work to higher dimensions, under the special...
- doi:10.1007/s11511-008-0022-7, S2CID 15463483 Riemannian geometry by V. A. Toponogov at the Encyclopedia of Mathematics Weisstein, Eric W., "Riemannian Geometry"...
- Undergraduate Texts in Mathematics, Springer-Verlag, ISBN 0387903577 Toponogov, Victor A. (2005), Differential Geometry of Curves and Surfaces: A Concise...
- of the sectional curvatures by λ − 1 . {\displaystyle \lambda ^{-1}.} Toponogov's theorem affords a characterization of sectional curvature in terms of...
- distance function, with control of the distance function obtained from the Toponogov comparison theorem, together with the Bishop–Gromov inequality on volume...
- vol. 5, Providence, Rhode Island: American Mathematical Society, p. 3 Toponogov, Victor A. (2006), "1.5 Problems: convex plane curves", in Rovenski, Vladimir...
- Riemannian manifold to the rate at which its geodesics spread apart. Toponogov's theorem Myers's theorem Hessian comparison theorem Laplacian comparison...