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arXiv · 2304.02914

Ricci Flow under Kato-type curvature lower bound

Man-Chun Lee
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Abstract

In this work, we extend the existence theory of non-collapsed Ricci flows from point-wise curvature lower bound to Kato-type lower bound. As an application, we prove that compact three dimensional non-collapsed strong Kato limit space is homeomorphic to a smooth manifold. The result also holds in higher dimension under uniform strong Kato lower bound of 1-isotropic curvature. We also use the Ricci flow smoothing to study stability problem in scalar curvature geometry.

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Man-Chun Lee. 2023-04-06. Ricci Flow under Kato-type curvature lower bound. https://arxiv.org/abs/2304.02914

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