中科院数学与系统科学研究院
数学研究所
几何分析研讨班
报告人： 杨 博 (中科院数学所)
题 目：A Mean Curvature Type Flow in Space Forms
时 间：2021.03.16（星期二）, 09:30-11:30
地 点：腾讯会议ID 518 7997 8794
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.
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