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arXiv · 1107.5107

On the conditions to extend Ricci flow(II)

Bing Wang
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Abstract

We develop some estimates under the Ricci flow and use these estimates to study the blowup rates of curvatures at singularities. As applications, we obtain some gap theorems: $\displaystyle \sup_X |Ric|$ and $\displaystyle \sqrt{\sup_X |Rm|} \cdot \sqrt{\sup_X |R|}$ must blowup at least at the rate of type-I. Our estimates also imply some gap theorems for shrinking Ricci solitons.

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Bing Wang. 2011-07-26. On the conditions to extend Ricci flow(II). https://doi.org/10.1093/imrn%2Frnr141

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