Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations

Abstract

These notes are the basis of a course given at the Institut Henri Poincare in September 2014. We survey some recent results related to the geometric analysis of hypoelliptic diffusion operators on totally geodesic Riemannian foliations. We also give new applications to the study of hypocoercive estimates for Kolmogorov type operators.

arXiv commentThe lectures are also posted on my blog http://fabricebaudoin.wordpress.com/category/hypoelliptic-operators/