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arXiv · 1807.05708

Heat kernel recurrence on space forms and applications

Chengjie Yu·Feifei Zhao
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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.

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Chengjie Yu, Feifei Zhao. 2018-07-16. Heat kernel recurrence on space forms and applications. https://arxiv.org/abs/1807.05708

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