Ricci-Deturck flow from rough metrics and applications

Published 12 Apr 2022 in math.DG | (2204.05843v2)

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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