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Decomposing diffeomorphisms of the sphere

Fletcher, Alastair and Markovic, Vladimir (2012) Decomposing diffeomorphisms of the sphere. Bulletin of the London Mathematical Society, 44 (3). pp. 599-609. ISSN 0024-6093. https://resolver.caltech.edu/CaltechAUTHORS:20120622-134602277

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Abstract

A central problem in the theory of quasiconformal and bi-Lipschitz mappings is whether they can be written as a composition of such mappings with small distortion. In this paper, we prove a decomposition result for C^1 diffeomorphisms of the sphere; namely, we show that, given ε>0, every C^1 diffeomorphism of the sphere S^n can be written as a composition of bi-Lipschitz mappings with isometric distortion at most 1 + ε.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1112/blms/bdr111 DOIArticle
http://blms.oxfordjournals.org/content/44/3/599PublisherArticle
Additional Information:© 2011 London Mathematical Society. Received 20 September 2010; revised 22 June 2011; published online 25 November 2011. The first author was supported by EPSRC grant EP/G050120/1. The authors would like to thank the anonymous referee for some very useful comments, which have improved the readability of the paper, and for suggesting some references for inclusion.
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)EP/G050120/1
Issue or Number:3
Classification Code:2010 Mathematics Subject Classification: 20H10 (primary)
Record Number:CaltechAUTHORS:20120622-134602277
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120622-134602277
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32046
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:22 Jun 2012 21:30
Last Modified:03 Oct 2019 03:57

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