On the entropy norm on $Ham(S^2)$
Geometric Topology
2019-09-16 v1 Group Theory
Symplectic Geometry
Abstract
In this note we prove that for each positive integer there exists a bi-Lipschitz embedding , where is equipped with the entropy metric. In particular, the same result holds when the entropy metric is substituted with the autonomous metric.
Cite
@article{arxiv.1909.05939,
title = {On the entropy norm on $Ham(S^2)$},
author = {Michael Brandenbursky and Egor Shelukhin},
journal= {arXiv preprint arXiv:1909.05939},
year = {2019}
}
Comments
7 pages