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Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\). (English) Zbl 0872.53008
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.
Reviewer: F.Manhart (Wien)

MSC:
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53A35 Non-Euclidean differential geometry
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