Uniform sub-Laplacian comparison theorems on Sasakian manifolds

Grenoble
[MATH]Mathematics [math]
sub-riemannian
sous-riemannien
institut fourier
uga
cnrs
sub-riemannian days 2018
journées sous-riemanniennes 2018
uniform sub-Laplacian
theorems
Sasakian manifolds

Appears in collection : Journée sous-riemannienne 2018

We will discuss sharp estimates for the sub-Laplacian of a family of distances converging to the sub-Riemannian one. We will deduce results for the sub-Riemannian distance. Uniform measure contraction properties will also be discussed. This is joint work with Erlend Grong, Kazumasa Kuwada and Anton Thalmaier.