Decomposing diffeomorphisms of the sphere

Details Decomposing diffeomorphisms of the sphere Decomposing diffeomorphisms of the sphere

2010-09-20

arxiv.org/abs/1009.3905v1

Mathematics

Complex Variables

Scientific paper

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.

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