Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space
نویسندگان
چکیده
Recommended by Christian Corda We obtain a height estimate concerning to a compact spacelike hypersurface Σ n immersed with constant mean curvature H in the anti-de Sitter space H n1 1 , when its boundary ∂Σ is contained into an umbilical spacelike hypersurface of this spacetime which is isometric to the hyperbolic space H n. Our estimate depends only on the value of H and on the geometry of ∂Σ. As applications of our estimate, we obtain a characterization of hyperbolic domains of H n1 1 and nonexistence results in connection with such types of hypersurfaces.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2009 شماره
صفحات -
تاریخ انتشار 2009