时间：2024年12月17日(星期二)，14:00-15:30
Tencent Meeting: 791 3541 8868
PASSCODE: 160273
主持人：Jintian Zhu, ITS
主讲人：Zhichao Wang, Fudan University
报告主题：Scalar-mean rigidity theorem for compact manifolds with boundary
报告摘要：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.
