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

doi:10.1007/s11464-009-0023-7

Front. Math. China

2009, Vol. 4

Issue (4) : 727-737 https://doi.org/10.1007/s11464-009-0023-7

Research articles

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

Biaogui YANG¹,Ximin LIU²,

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;

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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].

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

Issue Date: 05 December 2009

Cite this article:

Biaogui YANG,Ximin LIU. Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space[J]. Front. Math. China, 2009, 4(4): 727-737.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0023-7
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I4/727

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