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arXiv · 2204.05843

Ricci-Deturck flow from rough metrics and applications

Jianchun Chu·Man-Chun Lee
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Abstract

Motivated by the recent work of Lamm and Simon, in this work we study the short-time existence theory of Ricci-Deturck flow starting from rough metrics which are bi-Lipschitz and have small local scaling invariant gradient concentration. As applications, we use it to study several stability problems related to the scalar curvature.

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Jianchun Chu, Man-Chun Lee. 2022-04-12. Ricci-Deturck flow from rough metrics and applications. https://arxiv.org/abs/2204.05843

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