RIGIDITY THEOREMS OF HYPERSURFACES IN LOCALLY SYMMETRIC RIEMANNIAN MANIFOLD

被引：0

作者：

Zhang, Shicheng ^{[1
]}

Wu, Baoqiang ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Locally symmetric; linear Weingarten hypersurfaces; totally umbilical; CONSTANT SCALAR CURVATURE; SUBMANIFOLDS;

D O I：

10.1090/S0002-9939-2013-11780-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the linear Weingarten hypersurfaces in a locally symmetric Riemannian manifold are investigated and the rigidity theorems are proved by the operator square introduced by S. Y. Cheng and S. T. Yau, which is a generalization of main results obtained by several authors.

引用

页码：4015 / 4025

页数：11

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