Applications of needle decomposition for metric measure spaces

Abstract: In this talk I show how one can formulate and prove the Heintze-Karcher inequality in the context of nonsmooth spaces that satisfy a Ricci curvature bound in the sense of Lott, Sturm and Villani. As a by-product one obtains a notion of mean curvature for the boundary of Borel sets in such spaces. My approach is based on the needle decomposition method introduced for this framework by Cavalletti and Mondino.

differential geometrymetric geometry

Audience: researchers in the topic

mms&convergence

Series comments: Join Zoom Meeting: cuaieed-unam.zoom.us/j/84506421108?pwd=cjM5Q3NZR2gyQnV3Sjdqci80RkVSUT09

Meeting ID: 845 0642 1108 Passcode: 182795