https://neckpinch.com/authors/hao-yin/New arXiv papers by Hao Yin, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2306.08398/arxiv:2306.08398Wed, 14 Jun 2023 00:00:00 GMTPeter M. Topping, Hao Yin — 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.Ricci flowSurfacesStability & uniqueness https://neckpinch.com/papers/2107.14686/arxiv:2107.14686Fri, 30 Jul 2021 00:00:00 GMTPeter M. Topping, Hao Yin — We formulate and solve the existence problem for Ricci flow on a Riemann surface with initial data given by a Radon measure as volume measure. The theory leads us to a large class of new examples of nongradient expanding Ricci solitons, including the first example of a nongradient Kaehler Ricci soliton. It also settles the question of whether a smooth flow for positive time that attains smooth initial data in a distance metric sense must be smooth down to the initial time. We disprove this by giving an example of a complete Ricci flow starting with the Euclidean plane that is not the static solution.Ricci flowRicci solitonsKähler–Ricci solitonsSurfacesKähler geometry