Title: The uniqueness theorem of spacelike hypersurface in multi-warped spacetimes and its applications
Abstract: A uniqueness theorem for spacelike hypersurfaces in multi-warped spacetime with constant mean curvature is obtained. As its applications, it is proved that any complete spacelike hypersurfaces with constant mean curvature in anti de Sitter spacetime which lies in two concentric Veronese hypersurfaces must be a Veronese hypersurface. Some known results in the literatures can also be deduced from the uniqueness theorem.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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