A note on uniformization of riemann surfaces by ricci flow

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We clarify that the Ricci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.

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A discrete uniformization theorem for polyhedral surfaces II (2014, methodology): “The Ricci flow proof of the uniformization theorem for closed surfaces was achieved by a combination of the work of [13], [7], and [6].”
Ricci solitons: the equation point of view (2008, background): “Recently, Chen, Lu and Tian found a simple proof independent of uniformization of surfaces [9].”
The Kähler–Ricci flow with positive bisectional curvature (2007, methodology): “The case n = 1 was settled by Hamilton [H1], Chow [Cho] (see also Chen-Lu-Tian [ CLT ]).”
The Kähler–Ricci flow on surfaces of positive Kodaira dimension (2006, unknown): “In the early 90’s, Hamilton and Chow also used the Ricci flow to give another proof of the classical uniformization for Riemann surfaces (see [Ha2,Ch, ChLuTi ]).”
Ricci Flow on Surfaces with Conical Singularities (2009, unknown): “Very recently, a short paper of Chen, Lu and Tian [4] made it clear that Ricci flow can be used to give a proof of the Uniformization of Riemann surfaces.”
Ricci flow on surfaces with conic singularities (2013, methodology): “theorem in the smooth case using the Ricci flow (see also [Chen et al. 2006] for an earlier and different flow-based proof), and hence its use here is natural.”