Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces-Reference-Cited by-同舟云学术

Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

Published:2005-04-22 Issue:3 Volume:358 Page:1105-1115
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Solanes Gil

Abstract

We give an integral-geometric proof of the Gauss-Bonnet theorem for hypersurfaces in constant curvature spaces. As a tool, we obtain variation formulas in integral geometry with interest in its own.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2006-358-03/S0002-9947-05-03828-6/S0002-9947-05-03828-6.pdf

Reference11 articles.

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