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arXiv · 2306.08398

Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces

Peter M. Topping·Hao Yin
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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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Peter M. Topping, Hao Yin. 2023-06-14. Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces. https://arxiv.org/abs/2306.08398

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