A BRAY-BRENDLE-NEVES TYPE INEQUALITY FOR A RIEMANNIAN MANIFOLD

被引：0

作者：

邓洪存 ^{[1
]}

机构：

[1] School of Mathematics and Information Sciences, Yantai University

来源：

ActaMathematicaScientia | 2021年 / 41卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for any local area-minimizing closed hypersurface Σ with ■, immersed in a（n + 1）-dimension Riemannian manifold M which has positive scalar curvature and nonnegative Ricci curvature, we obtain an upper bound for the area of Σ. In particular, when Σ saturates the corresponding upper bound, Σ is isometric to S;and M splits in a neighborhood of Σ. At the end of the paper, we also give the global version of this result.

引用

页码：487 / 492

页数：6

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