中科院数学与系统科学研究院

数学研究所

数学物理研讨班

报告人：王耀华 教授（河南大学）

题  目：Penrose-type inequalities for low-dimensional compact manifolds with CMC boundary

时  间：2018.11.10（星期六），14:00-15:00

地  点：数学院南楼N913室

摘  要：In this talk, we will establish the Penrose-type inequalities for 3-dimensional and 4-dimensional compact manifold with nonnegative scalar curvature and CMC boundary. We will also discuss its applications to the quasi-local mass of the boundary. Some intrinsic conditions for the boundary will be given to guarantee the positivity of its Hawking mass. The estimates of the Bartnik mass of such boundary will be established without assumptions on the integral of the squared mean curvature. This is a joint work with Pengzi Miao and Naqing Xie.