Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\) (Q1354886)
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scientific article; zbMATH DE number 1009450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\) |
scientific article; zbMATH DE number 1009450 |
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Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\) (English)
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14 May 1997
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The paper investigates the behavior of graphs with prescribed mean curvature in hyperbolic space \(\mathbb{H}^{n+1}\). The main theorem states that certain graphs with prescribed mean curvature in \(\mathbb{H}^{n+1}\) cannot have an isolated singularity. Furthermore a flux formula for surfaces in \(\mathbb{H}^3\) with constant mean curvature is discussed.
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prescribed mean curvature graphs
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hyperbolic space
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constant mean curvature
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