Nelli, Barbara; Sá Earp, Ricardo Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\). (English) Zbl 0872.53008 Bull. Sci. Math. 120, No. 6, 537-553 (1996). 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) Cited in 6 Documents MSC: 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 53A35 Non-Euclidean differential geometry Keywords:prescribed mean curvature graphs; hyperbolic space; constant mean curvature PDF BibTeX XML Cite \textit{B. Nelli} and \textit{R. Sá Earp}, Bull. Sci. Math. 120, No. 6, 537--553 (1996; Zbl 0872.53008)