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

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

References

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