RIGIDITY THEOREMS OF CLIFFORD TORUS

被引：0
|
作者：
Zhang Yuntao [1 ]
机构：
[1] Xuzhou Normal Univ, Dept Math, Xuzhou 220009, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 03期
关键词：
Principle curvatual; Ricci curvature; Clifford torus; HYPERSURFACES; CURVATURE; SPHERE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove that the Clifford torus S-1(root 1-r(2)) x Sn-1(r) is the only closed hypersurface in the unit sphere Sn+1(1) with infinite fundamental group, which satisfy r(2) >= (n-1)/n, Ric(M) <= C_(H), and S <= S + (H). Moreover, we give a characterization of Clifford torus S-1(root 1-r(2)) x Sn-1 (r) with r(2) = 2(n-1)+nH(2)+/-vertical bar H vertical bar root n(2)H(2)+4(n-1)/2n(1+H-2).
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页码：890 / 896
页数：7
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