Speaker：Yingxiang Hu（Beihang University）

Time：2022-07-15, 15:00

Location：Tencent Meeting ID：772-731-984（No Password）

Abstract:

Curvature flow for hypersurfaces has become a powerful tool to prove the various geometric inequalities. In this talk, we will first review the recent progress on various geometric inequalities in space forms. Then we prove a family of identities for closed and strictly convex hypersurfaces in the sphere and hyperbolic/de Sitter space. As applications, the Blaschke-Santalo type inequalities in the sphere and hyperbolic/de Sitter space will be proved, which generalizes the previous work of Gao, Hug and Schneider. This is a joint work with Professor Haizhong Li.