报告人：杨博（中科院数学所）

时间：2021年3月16日周二9:30-11:30

腾讯会议：518 7997 8794

题目：A Mean Curvature Type Flow in Space Forms

摘要：In this talk, we introduce a new type of mean curvature flow for bounded star-shaped domains in space forms and prove its longtime existence, exponential convergence without any curvature assumption. Along this flow, the enclosed volume is a constant and the surface area evolves monotonically. Moreover, for a bounded convex domain in $R^{n+1}$ , the quermassintegrals evolve monotonically along the flow which allows us to prove a class of Alexandrov-Fenchel inequalities of quermassintegrals.