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
收藏
页码：487 / 492
页数：6
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