an:01009450
Zbl 0872.53008
Nelli, Barbara; S?? Earp, Ricardo
Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\)
EN
Bull. Sci. Math. 120, No. 6, 537-553 (1996).
00037172
1996
j
53A10 53A35
prescribed mean curvature graphs; hyperbolic space; constant mean curvature
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.
F.Manhart (Wien)