报告人：陈敏（中国科学技术大学）

时间：2021年4月13日周二9:00-11:00

腾讯会议ID: 518 7997 8794

报告题目：Alexandrov-Fenchel type inequalities in the sphere

摘要：In this talk, we shall prove the Alexandrov-Fenchel inequalities for closed convex $C^2$-hypersurfaces in $\mathbb{S}_+^{n+1}:$ $\mathcal{A}_k\ge\xi_{k,k-2}(\mathcal{A}_{k-2} )$ for any $1\le k\le n-1$, where $\mathcal{A}_k$ is the quermassintegral and $\xi_{k,k-2}$ is the unique positive function such that the equality holds when $M$ is a geodesic sphere.