Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces

2023/06/14 by Peter M. Topping, Hao Yin, Topping, Peter M. +1 · 1 citation
Mathematics · #53E20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2306.08398

openalex publication_date 2023/06/14 · openalex created_date 2023/06/17 · openalex updated_date 2026/07/28

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.

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• Kähler-Ricci flows coming out of metric spaces

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