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arXiv · 1311.5950

Davies type estimate and the heat kernel bound under the Ricci flow

Meng Zhu
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Abstract

We prove a Davies type double integral estimate for the heat kernel $H(y,t;x,l)$ under the Ricci flow. As a result, we give an affirmative answer to a question proposed by Chow etc.. Moreover, we apply the Davies type estimate to provide a new proof of the Gaussian upper and lower bounds of $H(y,t;x,l)$ which were first shown by Chau-Tam-Yu.

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Meng Zhu. 2014-02-08. Davies type estimate and the heat kernel bound under the Ricci flow. https://arxiv.org/abs/1311.5950

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