Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations. (English) Zbl 1379.53035
Barilari, Davide (ed.) et al., Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-162-0/pbk; 978-3-03719-662-5/ebook). EMS Series of Lectures in Mathematics, 259-321 (2016).
Summary: These notes are the basis of a course given at the Institut Henri Poincaré 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.
For the entire collection see [Zbl 1343.53001].
For the entire collection see [Zbl 1343.53001].
MSC:
| 53C12 | Foliations (differential geometric aspects) |
| 35H10 | Hypoelliptic equations |
| 53-02 | Research exposition (monographs, survey articles) pertaining to differential geometry |
