Calculus of Variations and Geometric Measure Theory

Local Poincaré inequalities in metric spaces with Ricci-curvature bounded from below

Tapio Rajala (University of Jyväskylä)

created by magnani on 04 Dec 2011

14 dec 2011 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University


We discuss the definitions given by Lott and Villani and by Sturm of lower Ricci-curvature bounds in metric spaces via mass transportation. We show how local Poincaré inequalities can be obtained from these lower bounds. Previously such results were known to be true only under the extra assumption that the space is non-branching.