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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