Concept information
Preferred term
Toponogov's theorem
Definition(s)
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In the mathematical field of Riemannian geometry, Toponogov's theorem (named after Victor Andreevich Toponogov) is a triangle comparison theorem. It is one of a family of comparison theorems that quantify the assertion that a pair of geodesics emanating from a point p spread apart more slowly in a region of high curvature than they would in a region of low curvature.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Toponogov%27s_theorem)
Broader concept(s)
In other languages
URI
http://data.loterre.fr/ark:/67375/PSR-X11R09LG-W
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