Embedded hypersurfaces in \(\mathbb S^{n+1}\) with constant mean curvature and spherical boundary (Q1599383)
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scientific article; zbMATH DE number 1752562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedded hypersurfaces in \(\mathbb S^{n+1}\) with constant mean curvature and spherical boundary |
scientific article; zbMATH DE number 1752562 |
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Embedded hypersurfaces in \(\mathbb S^{n+1}\) with constant mean curvature and spherical boundary (English)
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9 June 2002
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It is proved that an embedded hypersurface in a hemisphere of the Euclidean unit sphere with constant mean curvature and spherical boundary inherits, under certain conditions, the symmetries of its boundary. In particular, spherical caps are the only such hypersurfaces whose boundaries are geodesic spheres.
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Euclidean sphere
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hypersurfaces of constant mean curvature
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flux formula
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0.8914734125137329
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0.8654770255088806
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0.8586646318435669
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0.843919575214386
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