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arXiv:2012.03708 [math.DS]AbstractReferencesReviewsResources

Distortion element in group of diffeomorphisms of the 2-sphere

Jonathan Conejeros

Published 2020-12-07Version 1

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.

Categories: math.DS
Subjects: 37E30, 37E45, 37B05
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