二维和三维 Ricci 流的局部平滑结果
微分几何
2014-11-11 v2 偏微分方程分析
摘要
我们提出了 Ricci 流解的局部估计，无需假设解具有有界曲率。这些估计导致了 G.Perelman 在二维情形下的伪局部性结果之一的推广。
引用
@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}
}
备注
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