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arXiv · 1909.05939

On the entropy norm on $Ham(S^2)$

Michael Brandenbursky·Egor Shelukhin
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Abstract

In this note we prove that for each positive integer $m$ there exists a bi-Lipschitz embedding $Z^m\to Ham(S^2)$, where $Ham(S^2)$ is equipped with the entropy metric. In particular, the same result holds when the entropy metric is substituted with the autonomous metric.

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Michael Brandenbursky, Egor Shelukhin. 2019-09-12. On the entropy norm on $Ham(S^2)$. https://arxiv.org/abs/1909.05939

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