Hypersurfaces with constant scalar curvature in space forms (Q5917842)
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scientific article; zbMATH DE number 932002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypersurfaces with constant scalar curvature in space forms |
scientific article; zbMATH DE number 932002 |
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Hypersurfaces with constant scalar curvature in space forms (English)
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17 June 1997
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By the study of Cheng-Yau's self-adjoint operator \(\square\), we prove two rigidity theorems for \(n\)-dimensional hypersurfaces with constant scalar curvature in the \((n+1)\)-dimensional unit sphere \(S^{n+1}\) and in \((n+1)\)-dimensional Euclidean space \(E^{n+1}\), respectively.
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rigidity theorems
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hypersurfaces
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constant scalar curvature
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unit sphere
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Euclidean space
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