Heat kernel recurrence on space forms and applications
Differential Geometry
2018-07-17 v1
Abstract
In this paper, we first give a direct proof for two recurrence relations of the heat kernels for hyperbolic spaces in \cite{DM}. Then, by similar computation, we give two similar recurrence relations of the heat kernels for spheres. Finally, as an application, we compute the diagonal of heat kernels for odd dimensional hyperbolic spaces and the heat trace asymptotic expansions for odd dimensional spheres.
Cite
@article{arxiv.1807.05708,
title = {Heat kernel recurrence on space forms and applications},
author = {Chengjie Yu and Feifei Zhao},
journal= {arXiv preprint arXiv:1807.05708},
year = {2018}
}
Comments
17pages; All comments are welcome