Sub-Riemannian heat kernels on model spaces and curvature-dimension inequalities on contact manifolds
<p>This dissertation contains two research directions. In the first direction, we deduce explicit expressions of the subelliptic heat kernels on three sub-Riemannian model spaces: the Cauchy-Riemann sphere, the anti-de Sitter space and the Quaternionic sphere. From these explicit subelliptic h...
Main Author: | |
---|---|
Language: | EN |
Published: |
Purdue University
2014
|
Subjects: | |
Online Access: | http://pqdtopen.proquest.com/#viewpdf?dispub=3636683 |