The weighted geometric inequalities for static convex domains

发布时间：2023-12-13 作者：浏览次数：

Speaker:	潘淑婧	DateTime:	2023年12月15日（周五）上午11:00-12:00
Brief Introduction to Speaker: 潘淑婧，中国科学技术大学		Place:	6号楼2楼报告厅
Abstract:In this talk, we consider a locally constrained curvature flow in a static rotationally symmetric space. We prove that if the initial hypersurface is graphical, then the smooth solution of the flow remains to be graphical, exists for all positive time and converges to a geodesic sphere exponentially in the smooth topology. As applications, we prove a family of weighted geometric inequalities for static convex domains which is close to a geodesic sphere in the $C^1$ sense. This is a joint work with Dr. Bo Yang.