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...

Full description

Bibliographic Details
Main Author: Wang, Jing
Language:EN
Published: Purdue University 2014
Subjects:
Online Access:http://pqdtopen.proquest.com/#viewpdf?dispub=3636683