Published June 2012
| Version Accepted Version
Journal Article
Open
Decomposing diffeomorphisms of the sphere
Creators
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1.
University of Warwick
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2.
California Institute of Technology
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.
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.Attached Files
Accepted Version - FM-2-final.pdf
Files
FM-2-final.pdf
Additional details
Identifiers
- Eprint ID
- 32046
- Resolver ID
- CaltechAUTHORS:20120622-134602277
Funding
- Engineering and Physical Sciences Research Council (EPSRC)
- EP/G050120/1
Dates
- Created
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2012-06-22Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field