03-16【杨 博】几何分析相关讲座

发布者:万宏艳发布时间:2021-03-14浏览次数:74

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.