Hypersurfaces in a sphere with constant mean curvature

被引：24

作者：

Hou, ZH ^{[1
]}

机构：

[1] DALIAN UNIV TECHNOL,DEPT APPL MATH,DALIAN,PEOPLES R CHINA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 04期

关键词：

D O I：

10.1090/S0002-9939-97-03668-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Mn be a closed hypersurface of constant mean curvature immersed in the unit sphere Sn+1. Denote by S the square of the length of its second fundamental form. If S < 2 root n-1, M is a small hypersphere in Sn+1. We also characterize all M-n with S = 2 root n-1.

引用

页码：1193 / 1196

页数：4

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