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arXiv · 1408.2271

Singular Ricci flows I

Bruce Kleiner·John Lott
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Abstract

We introduce singular Ricci flows, which are Ricci flow spacetimes subject to certain asymptotic conditions. We consider the behavior of Ricci flow with surgery starting from a fixed initial compact Riemannian 3-manifold, as the surgery parameter varies. We prove that the flow with surgery subconverges to a singular Ricci flow as the surgery parameter tends to zero. We establish a number of geometric and analytical properties of singular Ricci flows.

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Bruce Kleiner, John Lott. 2014-08-10. Singular Ricci flows I. https://arxiv.org/abs/1408.2271

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