Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces

Author:

Peter M. Topping, Hao Yin

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Analysis of PDEs (math.AP)

journal:

date:

2023-06-13 16:00:00

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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