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arxiv: 1009.3905 · v1 · pith:TWLY2YDFnew · submitted 2010-09-20 · 🧮 math.CV · math.GT

Decomposing diffeomorphisms of the sphere

classification 🧮 math.CV math.GT
keywords smallsphereamountbi-lipschitzdecomposeddecomposingdiffeomorphismdiffeomorphisms
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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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