$www.math.cornell.edu$

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 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.