Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
Analysis of PDEs
2011-11-07 v2 Differential Geometry
Abstract
In this paper we study the small time asymptotics for the heat kernel on a sub-Riemannian manifold, using a perturbative approach. We then explicitly compute, in the case of a 3D contact structure, the first two coefficients of the small time asymptotics expansion of the heat kernel on the diagonal, expressing them in terms of the two basic functional invariants and defined on a 3D contact structure.
Cite
@article{arxiv.1105.1285,
title = {Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry},
author = {Davide Barilari},
journal= {arXiv preprint arXiv:1105.1285},
year = {2011}
}