Some space-like hypersurfaces with constant mean curvature in a Lorentz manifold (Q2782506)
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scientific article; zbMATH DE number 1724433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some space-like hypersurfaces with constant mean curvature in a Lorentz manifold |
scientific article; zbMATH DE number 1724433 |
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15 January 2003
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Lorentz manifold
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constant mean curvature
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space-like hypersurface
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maximal hypersurface
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Some space-like hypersurfaces with constant mean curvature in a Lorentz manifold (English)
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At first, the authors give a short review of theorems for complete space-like hypersurfaces with constant mean curvature in a Lorentz space form or in a Lorentz manifold. Next, assuming that the ambient Lorentz manifold satisfies additional geometric conditions and using some kind of Liouville type inequality they prove the main result of this paper. Namely, the authors obtain a lower bound of the squared norm of the second fundamental form of the above type of hypersurfaces.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00022].
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