Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
王耀华 教授, 河南大学
Inviter:
Title:
Penrose-type inequalities for low-dimensional compact manifolds with CMC boundary
Time & Venue:
2018.11.10 14:00-15:00 N913
Abstract:
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.