题目:Isoperimetric Rigidity and Distributions of 1-Lipschitz Functions

报告人: Takashi Shioya教授, Tohoku 大学

摘要:  In this talk, we consider the relation between isoperimetric profile and observable variance, where the observable variance is defined to be the supremum of the variance of 1-Lipschitz functions.  We have the detailed metric structure of a metric measure space such that its isoperimetric profile is not greater than that of a one-dimensional model and the observable variance coincides with that of the model.  As an application, we obtain a new type of splitting theorem for a complete Riemannian manifold with positive Bakry-Emery Ricci curvature.  This is a joint work with Hiroki Nakajima

时间：5月27日（周一）下午4:00--5:00

地点：首都师大新教2楼 808  教室

联系人:戎小春