共形空间中具有平行的共形第二基本形式的I型类时超曲面的分类

共形空间中具有平行的共形第二 基本形式的类空超曲面已经作了完全分类, 本文将继续类时情形的探讨并对此时的I型 类时超曲面分类.       

THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

In this paper,we consider the surface area preserving mean curvature flow in quasi-Fuchsian 3-manifolds.We show that the flow exists for all times and converges exponentially to a smooth surface of constant mean curvature with the same surface area as the initial surface.