Mathematical Research Letters
Volume 20 (2013)
Local pinching estimates in 3-dim Ricci flow
Pages: 845 – 855
We study curvature pinching estimates of Ricci flow on complete three-dimensional (3-dim) 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.
Ricci flow, local estimate
2010 Mathematics Subject Classification