Cohn-Vossen's inequality
id:
cohn-vossen-s-inequality-292-9785006
title:
Cohn-Vossen's inequality
text:
In differential geometry, Cohn-Vossen's inequality, named after Stefan Cohn-Vossen, relates the integral of Gaussian curvature of a non-compact surface to the Euler characteristic. It is akin to the Gauss–Bonnet theorem for a compact surface. A divergent path within a Riemannian manifold is a smooth curve in the manifold that is not contained within any compact subset of the manifold. A complete manifold is one in which every divergent path has infinite length with respect to the Riemannian metr
brand slug:
wiki
category slug:
encyclopedia
description:
Relates the integral of Gaussian curvature of surfaces to the Euler characteristic
original url:
https://en.wikipedia.org/wiki/Cohn-Vossen%27s_inequality
date created:
date modified:
2023-08-14T08:48:37Z
main entity:
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image:
fields total:
13
integrity:
14