Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth
Differential Geometry
2013-10-18 v1
Abstract
In this paper we provide a lower bound for the long time on-diagonal heat kernel of minimal submanifolds in a Cartan-hadamard ambient manifold assuming that the submanifold is of polynomial volume growth. In particular cases, that lower bound is related with the number of ends of the submanifold.
Keywords
Cite
@article{arxiv.1310.4643,
title = {Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth},
author = {Vicent Gimeno},
journal= {arXiv preprint arXiv:1310.4643},
year = {2013}
}
Comments
8 pages, 3 figures