Open Access
2013 Local smoothing results for the Ricci flow in dimensions two and three
Miles Simon
Geom. Topol. 17(4): 2263-2287 (2013). DOI: 10.2140/gt.2013.17.2263

Abstract

We present local estimates for solutions to the Ricci flow, without the assumption that the solution has bounded curvature. These estimates lead to a generalisation of one of the pseudolocality results of G Perelman in dimension two.

Citation

Download Citation

Miles Simon. "Local smoothing results for the Ricci flow in dimensions two and three." Geom. Topol. 17 (4) 2263 - 2287, 2013. https://doi.org/10.2140/gt.2013.17.2263

Information

Received: 21 September 2012; Revised: 18 June 2013; Accepted: 2 April 2013; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1275.35066
MathSciNet: MR3109868
Digital Object Identifier: 10.2140/gt.2013.17.2263

Subjects:
Primary: 35B65 , 53C44

Keywords: local estimates , Ricci flow , smoothing properties

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.17 • No. 4 • 2013
MSP
Back to Top