Landsberg hypersurfaces of Minkowski space with constant mean curvature (Q2891073)
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scientific article; zbMATH DE number 6045772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Landsberg hypersurfaces of Minkowski space with constant mean curvature |
scientific article; zbMATH DE number 6045772 |
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Landsberg hypersurfaces of Minkowski space with constant mean curvature (English)
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13 June 2012
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Finsler manifolds
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Minkowski space
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Landsberg hypersurface
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Simons' integral inequality.
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The author studies \(n\)-dimensional compact Landsberg hypersurfaces \(M\) of Minkowski spaces with constant mean curvature \(H\). He establishes the Simon integral inequality using the Gauss formula for the Chern connection. He proves that if the norm square \(S\) of the second fundamental form of \(M\) satisfies \(S< {{n^2H^2}\over{n-1}}\), then \(M\) is Riemannian with constant curvature.
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