Time: 14:00-15:30, Tuesday, December 17
Tencent Meeting: 791 3541 8868
PASSCODE: 160273
Host: Jintian Zhu, ITS
Speaker: Zhichao Wang, Fudan University
Title: Scalar-mean rigidity theorem for compact manifolds with boundary
Abstract: In this joint work with Bo Zhu and Jinmin Wang, we prove a scalar-mean rigidity theorem for compact Riemannian manifolds with boundary in dimension less than five by extending Schoen-Yau dimension reduction argument. As a corollary, we prove the sharp spherical radius rigidity theorem and best NNSC fill-in in terms of the mean curvature. Additionally, we prove a (Lipschitz) Listing type scalar-mean comparison rigidity theorem for these dimensions. Our results remove the spin assumption.
