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arXiv · 1204.5461

Canonical smoothing of compact Alexandrov surfaces via Ricci flow

Thomas Richard
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Abstract

In this paper, we show existence and uniqueness of Ricci flow whose initial condition is a compact Alexandrov surface with curvature bounded from below. This requires a weakening of the notion of initial condition which is able to deal with a priori non-Riemannian metric spaces. As a by-product, we obtain that the Ricci flow of a surface depends smoothly on Gromov-Hausdorff perturbations of the initial condition.

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Thomas Richard. 2012-04-24. Canonical smoothing of compact Alexandrov surfaces via Ricci flow. https://arxiv.org/abs/1204.5461

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