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

We obtain a height estimate concerning to a compact spacelike hypersurface Σn immersed with constant mean curvature H in the anti-de Sitter space ℍ1n+1, when its boundary ∂Σ is contained into an umbilical spacelike hypersurface of this spacetime which is isometric to the hyperbolic space ℍn. Our e...

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Bibliographic Details
Main Authors: Henrique F. de Lima, Joseilson R. de Lima
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/673508
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