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geometry > differential geometry > Riemannian geometry > Toponogov's theorem

Terme préférentiel

Toponogov's theorem  

Définition(s)

  • 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)

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http://data.loterre.fr/ark:/67375/PSR-X11R09LG-W

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RDF/XML TURTLE JSON-LD Date de création 19/07/2023, dernière modif. 26/07/2023