报告题目：

On Some Estimates of Hawking Mass for CMC Surfaces

报 告 人：

谢纳庆 教授（复旦大学）

报告时间：

2018年03月24日 15:00--16:00

报告地点：

数学院三楼报告厅

报告摘要：

We apply the Riemannian Penrose inequality and the Riemannian positive mass theorem to derive inequalities on the boundary of a class of compact Riemannian $3$-manifolds with nonnegative scalar curvature. The boundary of such a manifold has a CMC component, i.e. a $2$-sphere with positive constant mean curvature; and the rest of the boundary, if nonempty, consists of closed minimal surfaces. A key step in our proof is the construction of a collar extension that is inspired by the method of Mantoulidis-Schoen. These inequalities can be viewed as certain estimates of the Hawking mass. This talk is based on a joint work with Pengzi Miao at University of Miami.