Foliations for Quasi-Fuchsian 3-Manifolds
arXiv:0809.4057
Abstract
In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principle curvature is less than 1, then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow.
22 pages, 2 figures