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arXiv · 1310.4643

Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth

Vicent Gimeno
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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.

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Vicent Gimeno. 2013-10-17. Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth. https://arxiv.org/abs/1310.4643

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