On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces (Q847064)
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scientific article; zbMATH DE number 5669067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces |
scientific article; zbMATH DE number 5669067 |
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On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces (English)
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12 February 2010
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The authors study compact, or complete, spacelike hypersurfaces having constant normalized scalar curvature in locally symmetric \((n+1)\)-dimensional Lorentzian manifold. Their primary results are an optimal estimate for the squared norm of the second fundamental form, and a characterization of totally umbilical hypersurfaces. Contents include: Introduction (which includes a statement of their main results); Preliminaries; Proofs of theorems; and References (seventeen items).
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spacelike hypersurfaces
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locally symmetric Lorentzian manifold
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second fundamental form
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umbilics
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0.9676299
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0.96144664
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0.9542518
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