Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces
Differential Geometry
2023-06-16 v1 Analysis of PDEs
Abstract
In previous work we established the existence of a Ricci flow starting with a Riemann surface coupled with a nonatomic Radon measure as a conformal factor. In this paper we prove uniqueness. Combining these two works yields a canonical smoothing of such rough surfaces that also regularises their geometry at infinity.
Cite
@article{arxiv.2306.08398,
title = {Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces},
author = {Peter M. Topping and Hao Yin},
journal= {arXiv preprint arXiv:2306.08398},
year = {2023}
}