Canonical smoothing of compact Alexandrov surfaces via Ricci flow
Differential Geometry
2012-04-25 v1
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.
Keywords
Cite
@article{arxiv.1204.5461,
title = {Canonical smoothing of compact Alexandrov surfaces via Ricci flow},
author = {Thomas Richard},
journal= {arXiv preprint arXiv:1204.5461},
year = {2012}
}
Comments
12 pages