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arXiv · 1812.10296

Local derivative estimates for the heat equation coupled to the Ricci flow

Hong Huang
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Abstract

In this note we obtain local derivative estimates of Shi-type for the heat equation coupled to the Ricci flow. As applications, in part combining with Kuang's work, we extend some results of Zhang and Bamler-Zhang including distance distortion estimates and a backward pseudolocality theorem for Ricci flow on compact manifolds to the noncompact case.

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Hong Huang. 2018-12-26. Local derivative estimates for the heat equation coupled to the Ricci flow. https://arxiv.org/abs/1812.10296

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