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Local smoothing results for the Ricci flow in dimensions two and three

Miles Simon
Geometry & Topology 17 (2013) 2263–2287
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.

Keywords
Ricci flow, local estimates, smoothing properties
Mathematical Subject Classification 2010
Primary: 35B65, 53C44
References
Publication
Received: 21 September 2012
Revised: 18 June 2013
Accepted: 2 April 2013
Published: 16 August 2013
Proposed: John Lott
Seconded: Tobias Colding, Yasha Eliashberg
Authors
Miles Simon
Institut für Analysis und Numerik (IAN)
Universität Magdeburg
Universitätsplatz 2
D-39106 Magdeburg
Germany