报告主题：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 5月17日（周四）15:30
报告地点：校本部G507
邀请人：尹思露
主办部门：太阳成集团tyc33455数学系
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.
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