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2018 Long-time behavior of $3$–dimensional Ricci flow, A: Generalizations of Perelman's long-time estimates
Richard H Bamler
Geom. Topol. 22(2): 775-844 (2018). DOI: 10.2140/gt.2018.22.775

Abstract

This is the first of a series of papers on the long-time behavior of 3–dimensional Ricci flows with surgery. We first fix a notion of Ricci flows with surgery, which will be used in this and the following three papers. Then we review Perelman’s long-time estimates and generalize them to the case in which the underlying manifold is allowed to have a boundary. Eventually, making use of Perelman’s techniques, we prove new long-time estimates, which hold whenever the metric is sufficiently collapsed.

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Richard H Bamler. "Long-time behavior of $3$–dimensional Ricci flow, A: Generalizations of Perelman's long-time estimates." Geom. Topol. 22 (2) 775 - 844, 2018. https://doi.org/10.2140/gt.2018.22.775

Information

Received: 16 December 2014; Revised: 21 June 2015; Accepted: 20 January 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 06828600
MathSciNet: MR3748680
Digital Object Identifier: 10.2140/gt.2018.22.775

Subjects:
Primary: 53C44
Secondary: 53C23 , 57M50

Keywords: $3$–manifolds , collapsing theory , long-time estimates for Ricci flows , Ricci flow , Ricci flow with surgery

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.22 • No. 2 • 2018
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