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Decomposing diffeomorphisms of the sphere
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Fletcher, Alastair and Markovic, V.. (2012) Decomposing diffeomorphisms of the sphere. Bulletin of the London Mathematical Society, Vol.44 (No.3). pp. 599-609. ISSN 0024-6093
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Official URL: http://dx.doi.org/10.1112/blms/bdr111
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 C1 diffeomorphisms of the sphere; namely, we show that, given ε>0, every C1 diffeomorphism of the sphere Sn can be written as a composition of bi-Lipschitz mappings with isometric distortion at most 1 + ε.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Bulletin of the London Mathematical Society |
| Publisher: | Cambridge University Press |
| ISSN: | 0024-6093 |
| Date: | 2012 |
| Volume: | Vol.44 |
| Number: | No.3 |
| Number of Pages: | 11 |
| Page Range: | pp. 599-609 |
| Identification Number: | 10.1112/blms/bdr111 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | EPSRC |
| Grant number: | EP/G050120/1 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48351 |
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