(Un)distorted diffeomorphisms in different regularities

2020/04/15 by Navas, Andrés
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2004.07055

Abstract

We build the first examples of diffeomorphisms that are distorted in a group of C^r diffeomorphisms yet undistorted in the corresponding group of C^s diffeomorphisms, where r < s. This explicit construction is performed for the closed interval, r = 1 and s = 2.

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