Complete hypersurfaces with constant mean curvature in a unit sphere

被引：31
|
作者：
Wei, Guoxin [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2006年 / 149卷 / 03期
关键词：
principal curvature; Clifford torus; Gauss equations;
D O I：
10.1007/s00605-005-0377-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By investigating hypersurfaces M(n) in the unit sphere S(n+1) (1) with constant mean curvature and with two distinct principal curvatures, we give a characterization of the torus S(1)(a) x S(n-1)(root 1 - a(2)) where a(2) = 2+nH(2) +/- root n(2)H(4)+(n-1)H(2)/2n(1+H(2)). We extend recent results of Hasanis et al. [5] and Otsuki [10].
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页码：251 / 258
页数：8
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