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

Gil Solanes

doi:10.1090/S0002-9947-05-03828-6

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

Gil Solanes^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer-review

40 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1105-1115
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	358
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9947-05-03828-6
Publication status	Published - Mar 2006

Keywords

Integral geometry
Total curvature

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10.1090/S0002-9947-05-03828-6

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

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