Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space

被引：5

作者：

Yang, Biaogui ^{[1
]}

Liu, Ximin ^{[2
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

[2] S China Univ Technol, Dept Math, Guangzhou 510641, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2009年 / 4卷 / 04期

关键词：

Anti-de Sitter space; complete spacelike hypersurface; constant mean curvature (CMC); hyperbolic cylinder; generalized maximal principle; RIEMANNIAN MANIFOLDS;

D O I：

10.1007/s11464-009-0023-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the complete spacelike hypersurfaces with constant mean curvature and two distinct principal curvatures in an anti-de Sitter space. We give a characterization of hyperbolic cylinder and prove the conjecture in a paper by L. F. Cao and G. X. Wei [J. Math. Anal. Appl., 2007, 329(1): 408-414].

引用

页码：727 / 737

页数：11

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