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arXiv · 2012.03708

Distortion element in group of diffeomorphisms of the 2-sphere

Jonathan Conejeros
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Abstract

We prove that every distortion element in the group of diffeomorphisms of the 2-sphere which has some recurrent point that is not fixed is an irrational pseudo-rotation. Moreover we prove that the differential of a distortion element in the group of diffeomorphisms of the 2-sphere having at least three fixed points at a fixed point has a unique eigenvalue which is 1.

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Jonathan Conejeros. 2020-12-07. Distortion element in group of diffeomorphisms of the 2-sphere. https://arxiv.org/abs/2012.03708

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