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

doi:10.1007/s11464-009-0023-7

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Front. Math. China ›› 2009, Vol. 4 ›› Issue (4) : 727-737. DOI: 10.1007/s11464-009-0023-7

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

Biaogui YANG¹,Ximin LIU²,

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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

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Biaogui YANG, Ximin LIU,. Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space. Front. Math. China, 2009, 4(4): 727‒737 https://doi.org/10.1007/s11464-009-0023-7