Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations

I finally finished the lecture notes of my course for the Institut Henri Poincare trimester Geometry, Analysis and Dynamics on sub-Riemannian manifolds. The course which is entitled Hypoelliptic operators is divided into two parts of each 12 hours. Nicola Garofalo will cover the first part of the course and I will cover the second one. In my part of the course, I will study sub-Laplacians and hypoelliptic operators on  Riemannian foliations with totally geodesic leaves.

Here are the lecture notes: Cours IHP

In 12 hours I may not have the time to cover all the parts of those notes but will try to focus on the main ideas and main results.

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