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

被引：31

作者：

Solanes, G ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Geometrie & Topol, D-70569 Stuttgart, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 358卷 / 03期

关键词：

integral geometry; total curvature;

D O I：

10.1090/S0002-9947-05-03828-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1105 / 1115

页数：11

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