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Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space
Authors:Biaogui Yang  Ximin Liu
Institution: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
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].
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