Decomposing diffeomorphisms of the sphere

Alastair Fletcher; Vladimir Markovic

doi:10.1112/blms/bdr111

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arXiv · 1009.3905

Decomposing diffeomorphisms of the sphere

Alastair Fletcher·Vladimir Markovic

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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.

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Alastair Fletcher, Vladimir Markovic. 2010-09-20. Decomposing diffeomorphisms of the sphere. https://doi.org/10.1112/blms%2Fbdr111

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