Speaker：Longzhi Lin (University of California Santa Cruz)

Time：2024-6-25, 14:30

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

For a long time, there has been a folklore conjecture, often attributed to Thurston, which asserts that every almost Fuchsian manifold is foliated by closed incompressible constant mean curvature (CMC) surfaces. In this talk I will discuss our recent work using the modified mean curvature flow to prove the existence of closed incompressible surfaces of constant mean curvature in a certain class of almost Fuchsian manifolds. As an application, we confirm this CMC foliation conjecture for such a class of almost Fuchsian manifolds.