A new characterization of \(r\)-stable hypersurfaces in space forms. (Q2897384)
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scientific article; zbMATH DE number 6054252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new characterization of \(r\)-stable hypersurfaces in space forms. |
scientific article; zbMATH DE number 6054252 |
Statements
10 July 2012
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space form
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\(r\)-th mean curvature
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\(r\)-stability
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A new characterization of \(r\)-stable hypersurfaces in space forms. (English)
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The \(r\)-stability of closed hypersurfaces with constant \(r\)-mean curvature in Riemannian manifolds of constant sectional curvature is studied. \(r\)-stable hypersurfaces are characterized through the first eingenvalue of an operator naturally attached to the \(r\)-mean curvature.
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