Complete spacelike hypersurfaces in a de Sitter space

被引：0

作者：

Shu, SC ^{[1
]}

机构：

[1] Xianyang Teachers Univ, Dept Math, Xianyang 712000, Shaanxi, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2006年 / 73卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterise the n-dimensional (n >= 3) complete spacelike hypersurfaces M-n in a de Sitter space S-1(n+1) with constant scalar curvature and with two distinct principal curvatures. We show that if the multiplicities of such principal curvatures are greater than 1, then M-n is isometric to H-k(sinh r) x Sn-k(cosh r), 1 < k < n - 1. In particular, when M-n is the complete spacelike hypersurfaces in S-1(n+1) with the scalar curvature and the mean curvature being linearly related, we also obtain a characteristic Theorem of such hypersurfaces.

引用

页码：9 / 16

页数：8

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