Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space

Henrique F. de Lima and Joseilson R. de Lima

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-12

Abstract:

We obtain a height estimate concerning to a compact spacelike hypersurface immersed with constant mean curvature in the anti-de Sitter space , when its boundary is contained into an umbilical spacelike hypersurface of this spacetime which is isometric to the hyperbolic space . Our estimate depends only on the value of and on the geometry of As applications of our estimate, we obtain a characterization of hyperbolic domains of and nonexistence results in connection with such types of hypersurfaces.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:673508

DOI: 10.1155/2009/673508

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