Biao Wang

Ph.D. (2009) Cornell University

First Position

Visiting assistant professor at University of Toledo (Ohio State)

Dissertation

Foliations for Quasi-Fuchsian 3-Manifolds

Advisor

William Paul Thurston

Research Area

Low-Dimensional Topology

Abstract

In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (–1,1), 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.