Local smoothing results for the Ricci flow in dimensions two and three
Differential Geometry
2014-11-11 v2 Analysis of PDEs
Abstract
We present local estimates for solutions to the Ricci flow, without the assumption that the solution has bounded curvature. These estimates lead to a generalisation of one of the pseudolocality results of G.Perelman in dimension two.
Keywords
Cite
@article{arxiv.1209.4274,
title = {Local smoothing results for the Ricci flow in dimensions two and three},
author = {Miles Simon},
journal= {arXiv preprint arXiv:1209.4274},
year = {2014}
}
Comments
20 pages. V.2 Fixed some typos in the statements of some of the theorems (some of the constants were written incorrectly). Fixed some typos realting to constants in section 3. Added a remark at the end of the paper which explains how Theorem 1.5 follows from Theorem 5.1. All proofs and the rest of the paper remain/remains unchanged