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. doi:10.1112/blms/bdr111. https://resolver.caltech.edu/CaltechAUTHORS:20120622-134602277
![]() |
PDF
- Accepted Version
See Usage Policy. 194kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20120622-134602277
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: |
| |||||||||
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: |
| |||||||||
Issue or Number: | 3 | |||||||||
Classification Code: | 2010 Mathematics Subject Classification: 20H10 (primary) | |||||||||
DOI: | 10.1112/blms/bdr111 | |||||||||
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: | 09 Nov 2021 20:03 |
Repository Staff Only: item control page