Local pinching estimates in 3-dim Ricci flow
Differential Geometry
2014-08-22 v2 Analysis of PDEs
Abstract
We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on any complete solution of 3-dim Ricci flow, these conditions include nonnegative Ricci curvature and sectional curvature as special cases. A local version of Hamilton-Ivey estimates is also obtained.
Cite
@article{arxiv.1206.1814,
title = {Local pinching estimates in 3-dim Ricci flow},
author = {Bing-Long Chen and Guoyi Xu and Zhuhong Zhang},
journal= {arXiv preprint arXiv:1206.1814},
year = {2014}
}
Comments
10 pages, to appear on Math Research Letters