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arXiv · 1206.1814

Local pinching estimates in 3-dim Ricci flow

Bing-Long Chen·Guoyi Xu·Zhuhong Zhang
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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.

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Bing-Long Chen, Guoyi Xu, Zhuhong Zhang. 2013-09-24. Local pinching estimates in 3-dim Ricci flow. https://arxiv.org/abs/1206.1814

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