Frontiers of Mathematics in China >

2009 , Vol. 4 >Issue 4: 727 - 737

DOI: https://doi.org/10.1007/s11464-009-0023-7

Research articles

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

Expand
  • 1.School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China; 2.Department of Mathematics, South China University of Technology, Guangzhou 510641, China;

Published date: 05 Dec 2009

Fold

Abstract

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].

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

Cite this article

Biaogui YANG, Ximin LIU, . Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space[J]. Frontiers of Mathematics in China, 2009 , 4(4) : 727 -737 . DOI: 10.1007/s11464-009-0023-7

Options
Outlines

/

〈 〉