Geometric Inequalities on Riemannian and sub-Riemannian manifolds by heat semigroups techniques

Abstract

In those lecture notes, we review some applications of heat semigroups methods in Riemannian and sub-Riemannian geometry. The notes contain parts of courses taught at Purdue University, Institut Henri Poincaré, Levico Summer School and Tata Institute.

arXiv commentTo be published in Levico summer school lecture notes. v2 fixes some typos and adds references