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A Simple Ricci Flow Proof of the Uniformization Theorem

Published 2 Apr 2024 in math.DG and math.CV | (2404.01980v6)

Abstract: In this note, we provide a very simple proof of the uniformization theorem of Riemann surfaces by Ricci flow. The argument builds on a refinement of Hamilton's isoperimetric estimate for the Ricci flow on the two-sphere.

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