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- Cohn-Vossen's_inequality abstract "In differential geometry, Cohn-Vossen's inequality, named after Stephan 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 metric on the manifold. Cohn-Vossen's inequality states that in every complete Riemannian 2-manifold S with finite total curvature and finite Euler characteristic, we have where K is the Gaussian curvature, dA is the element of area, and χ is the Euler characteristic.".
- Cohn-Vossen's_inequality wikiPageExternalLink Gauss-Bonnet_theorem.
- Cohn-Vossen's_inequality wikiPageID "40410426".
- Cohn-Vossen's_inequality wikiPageRevisionID "605741907".
- Cohn-Vossen's_inequality subject Category:Differential_geometry.
- Cohn-Vossen's_inequality subject Category:Inequalities.
- Cohn-Vossen's_inequality comment "In differential geometry, Cohn-Vossen's inequality, named after Stephan 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.".
- Cohn-Vossen's_inequality label "Cohn-Vossen's inequality".
- Cohn-Vossen's_inequality sameAs m.0wzwmr7.
- Cohn-Vossen's_inequality sameAs Q17005376.
- Cohn-Vossen's_inequality sameAs Q17005376.
- Cohn-Vossen's_inequality wasDerivedFrom Cohn-Vossen's_inequality?oldid=605741907.
- Cohn-Vossen's_inequality isPrimaryTopicOf Cohn-Vossen's_inequality.