Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature

被引：1

作者：

Kath, Ines ^{[1
]}

机构：

[1] Ernst Moritz Arndt Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2012年 / 82卷 / 01期

关键词：

Pseudo-Riemannian symmetric spaces; Symmetric submanifolds; SUB-MANIFOLDS;

D O I：

10.1007/s12188-012-0067-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Improving a result of Eschenburg and Kim we give a criterion for semisimplicity of pseudo-Riemannian extrinsic symmetric spaces in terms of the shape operator with respect to the mean curvature vector.

引用

页码：121 / 127

页数：7

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