Weighted geometric inequalities and applications

报告人: 韦勇 教授（中国科学技术大学）

时间: 2023年11月28号（星期二）10:30-11:30

地点: 海纳苑2幢102

摘要：In this talk, we discuss some weighted geometric inequalities for domains in space forms. First, we consider a weighted isoperimetric inequality which compares boundary momentum, boundary area and enclosed volume for a star-shaped and mean convex domain in the Euclidean space. As an application, we prove the Weinstock type inequality on the first non-zero Steklov eigenvalue for such domains. Second, we consider the weighted Alexandrov-Fenchel type inequalities which involve weighted curvature integrals and quermassintegrals for domains in space forms. For the proof, we used inverse curvature flows. The talk is based on some joint work with Yingxiang Hu, K.-K. Kwong, Haizhong Li and Tailong Zhou.

联系人: 吴洁（wujiewj@zju.edu.cn）