RIGIDITY THEOREMS FOR COMPACT HYPERSURFACES IN LOCALLY SYMMETRIC RIEMANNIAN MANIFOLDS

被引：1

作者：

Zhang, Shicheng ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Locally symmetric; infinite fundamental group; Riemannian product; CONSTANT MEAN-CURVATURE; CLOSED HYPERSURFACES; UNIT-SPHERE;

D O I：

10.1090/proc/13562

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some rigidity theorems for compact hyper-surfaces without the constancy condition on the mean curvature or the scalar curvature in locally symmetric Riemannian manifolds.

引用

页码：4485 / 4492

页数：8

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