论文标题
靠近紫红色基因座的准叶叶流形的流形是由恒定平均曲率表面散落的
Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces
论文作者
论文摘要
即使已经知道，存在不承认通过恒定平均曲率（CMC）表面承认任何单调叶子的准柔骨三个字体，但由于瑟斯顿（Thurston （-1,1）。在本文中，我们证明存在一个（唯一的）单调CMC叶面，用于所有准富奇的流形，它们位于紫红色基因座的足够小社区中。
Even though it is known that there exist quasi-Fuchsian hyperbolic three-manifolds that do not admit any monotone foliation by constant mean curvature (CMC) surfaces, a conjecture due to Thurston asserts the existence of CMC foliations for all almost-Fuchsian manifolds, namely those quasi-Fuchsian manifolds that contain a closed minimal surface with principal curvatures in (-1,1). In this paper we prove that there exists a (unique) monotone CMC foliation for all quasi-Fuchsian manifolds that lie in a sufficiently small neighborhood of the Fuchsian locus.
