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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. doi:10.1112/blms/bdr111 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, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Bulletin of the London Mathematical Society | ||||
| Publisher: | Cambridge University Press | ||||
| ISSN: | 0024-6093 | ||||
| Official Date: | 2012 | ||||
| Dates: |
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| Volume: | Vol.44 | ||||
| Number: | No.3 | ||||
| Number of Pages: | 11 | ||||
| Page Range: | pp. 599-609 | ||||
| DOI: | 10.1112/blms/bdr111 | ||||
| Status: | Peer Reviewed | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | EPSRC | ||||
| Grant number: | EP/G050120/1 |
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