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arXiv · 2102.12840

Small curvature concentration and Ricci flow smoothing

Pak-Yeung Chan·Eric Chen·Man-Chun Lee
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Abstract

We show that a complete Ricci flow of bounded curvature which begins from a manifold with a Ricci lower bound, local entropy bound, and small local scale-invariant integral curvature control will have global point-wise curvature control at positive times. As applications, we obtain under similar assumptions a compactness result and a gap theorem for complete noncompact manifolds with nonnegative Ricci Curvature.

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Pak-Yeung Chan, Eric Chen, Man-Chun Lee. 2021-02-25. Small curvature concentration and Ricci flow smoothing. https://arxiv.org/abs/2102.12840

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