On Alexandrov-Bernstein theorems in hyperbolic space (Q790463)
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scientific article; zbMATH DE number 3848194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Alexandrov-Bernstein theorems in hyperbolic space |
scientific article; zbMATH DE number 3848194 |
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On Alexandrov-Bernstein theorems in hyperbolic space (English)
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1983
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The authors consider complete properly embedded hypersurfaces of constant mean curvature in hyperbolic n-space. Among them they characterize distance ''spheres'' 1) around a point, 2) around a geodesic hypersurface and 3) horospheres by the behaviour of their asymptotic boundary.
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Berstein theorems
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constant mean curvature
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asymptotic boundary
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horospheres
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