Decomposing diffeomorphisms of the sphere
Complex Variables
2014-02-26 v1 Geometric Topology
Abstract
We prove that any diffeomorphism of the sphere S^n to itself can be decomposed into bi-Lipschitz mappings of small isometric distortion and which move points a small amount in the spherical metric.
Cite
@article{arxiv.1009.3905,
title = {Decomposing diffeomorphisms of the sphere},
author = {Alastair Fletcher and Vladimir Markovic},
journal= {arXiv preprint arXiv:1009.3905},
year = {2014}
}