报告人：杨博（中科院数学所）

时间：2021年4月6日周二9:30-11:30

腾讯会议：518 7997 8794

题目：A Mean Curvature Type Flow in Space Forms II

摘要：In the last talk, we have introduced a new type of mean curvature flow for bounded star-shaped domains in space forms and give a priori estimates for the solution of the flow. In this talk, we will prove its longtime existence, exponential convergence without any curvature assumption. 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.