题目：The Decompositions of Geometric Measures of Convex Body

报告人：朱保成 教授 （陕西师范大学）

地点：腾讯会议室

时间：2023年12月21日 15:00-15:50

摘要：In this talk, we will discuss the decompositions of the geometric measures of convex body. We will show the absolute continuity and the singularity of the k-th curvature measure C_k (K,∙) of convex body K with respect to the boundary Hausdorff measure of different dimensions. For the pull-back measure J_k (K,∙) of C_k (K,∙) via the radial map r_K, we obtain the integral representation and the decomposition of J_k (K,∙). Our results regarding the decompositions of measure imply that Gauss curvature measure C_0 (K,∙) and the Aleksandrov’s integral curvature J_0 (K,∙) have unique singularity distinguished from other k-th curvature measures.

参会方式：腾讯会议室

账号：662-859-6692

All are welcome!