Ricci-Deturck flow from rough metrics and applications
Differential Geometry
2022-04-18 v2
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.
Keywords
Cite
@article{arxiv.2204.05843,
title = {Ricci-Deturck flow from rough metrics and applications},
author = {Jianchun Chu and Man-Chun Lee},
journal= {arXiv preprint arXiv:2204.05843},
year = {2022}
}
Comments
36 pages, printing mistakes corrected, added result on positive mass Theorem on singular metrics