Compact space-like hypersurfaces in de Sitter space (Q2576006)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact space-like hypersurfaces in de Sitter space |
scientific article |
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Compact space-like hypersurfaces in de Sitter space (English)
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7 December 2005
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The author considers compact space-like hypersurfaces in the de Sitter spacetime. Several integral formulas are proven, involving higher-order mean curvatures of the hypersurfaces. The results are applied to characterize the case when the respective hypersurfaces are totally umbilical.
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space-like hypersurfaces
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de sitter space
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umbilical hypersurfaces
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higher-order mean curvatures
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