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Ricci flows with unbounded curvature

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 10 Apr 2012Embargo end date: 01 Jan 2014Publisher:Springer Science and Business Media LLCJournal:Mathematische Zeitschrift, volume 273, pages 449-460 (issn: 0025-5874, eissn: 1432-1823,

Authors: Gregor Giesen; Peter M. Topping;

doi: 10.1007/s00209-012-1014-z , 10.48550/arxiv.1408.6866 , 10.48550/arxiv.1106.2493

arXiv: http://arxiv.org/abs/1106.2493 , http://arxiv.org/abs/1408.6866

Ricci flows with unbounded curvature

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Abstract

Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural for many applications, but is hard to drop because so many new phenomena can occur in the general case. This article surveys some of the theory from the past few years that has sought to rectify the situation in different ways.

appears in Proceedings of the International Congress of Mathematicians, Seoul 2014

Related Organizations

University of Warwick
United Kingdom

Keywords

Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), 53C44, 35K55, 58J35, FOS: Mathematics, 35K55, 53C44, 58J35, Analysis of PDEs (math.AP)

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