On complete spacelike hypersurfaces with \(R=aH+b\) in locally symmetric Lorentz spaces. (Q2897387)
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scientific article; zbMATH DE number 6054255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On complete spacelike hypersurfaces with \(R=aH+b\) in locally symmetric Lorentz spaces. |
scientific article; zbMATH DE number 6054255 |
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10 July 2012
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spacelike submanifold
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locally symmetric Lorentz space
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On complete spacelike hypersurfaces with \(R=aH+b\) in locally symmetric Lorentz spaces. (English)
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The authors investigate \(n\)-dimensional spacelike hypersurfaces \(M^n\) in a locally symmetric Lorentz space satisfying \(R=aH+b\), where \(R\) is the normalized scalar curvature of \(M^n\), \(H\) is the mean curvature and \(a\), \(b\in \mathbb {R}\) are constants. They deduce two rigidity theorems for these hypersurfaces.
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