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Producing 3D Ricci flows
with nonnegative Ricci curvature via singular Ricci flows
Yi Lai |
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Geometry & Topology 25 (2021) 3629–3690
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Abstract |
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We extend the concept of singular Ricci flow by Kleiner and Lott from 3D compact manifolds to 3D complete manifolds with possibly unbounded curvature. As an application of the generalized singular Ricci flow, we show that for any 3D complete Riemannian manifold with nonnegative Ricci curvature, there exists a smooth Ricci flow starting from it. This partially confirms a conjecture by Topping. |
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Keywords
Ricci flow, noncompact, nonnegative Ricci curvature, Ricci
flow spacetime, singular Ricci flow, heat kernel,
pseudolocality
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Mathematical Subject Classification
Primary: 53E20
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References |
Publication
Received: 14 May 2020
Revised: 11 January 2021
Accepted: 10 February 2021
Published: 25 January 2022
Proposed: Gang Tian
Seconded: Tobias H Colding, Bruce Kleiner
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Authors |
| Yi Lai | |
| Department of Mathematics University of California, Berkeley Berkeley, CA United States |
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