Journal title
Bulletin of the London Mathematical Society
DOI
10.1112/blms/bdr111
Issue
3
Volume
44
Last updated
2023-12-19T16:47:32.13+00:00
Page
599-609
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. © 2012 London Mathematical Society.
Symplectic ID
1109994
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Publication type
Journal Article
Publication date
01 Jan 2012