%0 Journal Article
%T Surfaces of Prescribed Mean Curvature in Quasi-Fuchsian Manifolds
%A Zheng Huang
%A Biao Wang
%J Mathematics
%D 2010
%I arXiv
%X Let $M$ be a quasi-Fuchsian three-manifold that contains a closed incompressible surface with principal curvatures within the range of the unit interval, for a prescribed function $H$ (with mild conditions) on $M$, we construct a closed incompressible surface with mean curvature $H$ . A direct application is the existence of embedded surfaces of prescribed constant mean curvatures with constants in $(-2,2)$.
%U http://arxiv.org/abs/1003.1546v1