Complete hypersurfaces in \(\mathbb{R}^{2n+2}\) with constant negative \(2n\)-th curvature (Q1423836)
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scientific article; zbMATH DE number 2051640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete hypersurfaces in \(\mathbb{R}^{2n+2}\) with constant negative \(2n\)-th curvature |
scientific article; zbMATH DE number 2051640 |
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Complete hypersurfaces in \(\mathbb{R}^{2n+2}\) with constant negative \(2n\)-th curvature (English)
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7 March 2004
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Given \(n > 1\) and \(\mathbb{R}\ni\sigma\leq -2n\), the author establishes the existence of a complete hypersurface of \(\mathbb{R}^{2n+2}\) with \((2n)\)-th mean curvature (that is, \((2n)\)-th elementary symmetric function of its principal curvatures) \(\sigma _{2n}\) constant and equal to \(\sigma\).
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hypersurface
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principal curvatures
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mean curvature
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