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arXiv · 1412.3200

A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow

Xian-Gao Liu·Kui Wang
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Abstract

In this paper, we derive a Sobolev inequality along an extended Ricci flow and prove a point-wise Guassian type bound for the fundamental solutions of the conjugate heat equation under the flow.

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Xian-Gao Liu, Kui Wang. 2014-12-10. A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow. https://doi.org/10.2140/pjm.2017.287.465

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