A characterization of hyperbolic cylinders in the de Sitter space (Q1915239)
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scientific article; zbMATH DE number 889573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of hyperbolic cylinders in the de Sitter space |
scientific article; zbMATH DE number 889573 |
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A characterization of hyperbolic cylinders in the de Sitter space (English)
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16 June 1996
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The author proves the following Theorem: A complete spacelike hypersurface in the de Sitter spacetime \(S^{n+1}_1\) with constant mean curvature \(H\) satisfying \(H^2 = 4(n -1)/n^2\) which is not connected at infinity must be, up to ridid motions, a certain hyperbolic cylinder.
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de Sitter space
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spacelike hypersurface
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constant mean curvature
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