Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem (Q1409652)
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scientific article; zbMATH DE number 1993673
| Language | Label | Description | Also known as |
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| English | Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem |
scientific article; zbMATH DE number 1993673 |
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Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem (English)
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16 October 2003
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The authors study the topology and geometry of space-like surfaces with constant mean curvature in de Sitter space. Their result is a Lorentzian analogue of a theorem of \textit{H. Alencar} and \textit{M. P. do Carmo} [Proc. Am. Math. Soc. 120, 1223--1229 (1994; Zbl 0802.53017)] about hypersurfaces in the sphere. They give a lot of explicit examples of such hypersurfaces.
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de Sitter space
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subvariety
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curvature
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