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arXiv · 2404.01980

A Simple Ricci Flow Proof of the Uniformization Theorem

Yucheng Ji
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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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Yucheng Ji. 2024-04-02. A Simple Ricci Flow Proof of the Uniformization Theorem. https://arxiv.org/abs/2404.01980

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