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.
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页码：1193 / 1196
页数：4
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