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arXiv · 2004.07055

(Un)distorted diffeomorphisms in different regularities

Andrés Navas
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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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Andrés Navas. 2020-04-15. (Un)distorted diffeomorphisms in different regularities. https://arxiv.org/abs/2004.07055

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