Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces

Autor:	Topping, Peter M., Yin, Hao
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs 53E20
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.08398 Zobrazit plný text záznamu View this record from Arxiv