Hofer metric from the contact point of view

Tomasz Rybicki

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arXiv · 1304.1971

Hofer metric from the contact point of view

Tomasz Rybicki

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Abstract

Given a manifold $M$ endowed with a contact 1-form $\alpha$, a bi-invariant pseudo-metric $\varrho_\alpha$ is introduced on $Cont(M,\alpha)$, the compactly supported identity component of the group of all strict contactomorphisms of $(M,\alpha)$. For $M$ open $\varrho_\alpha$ is a metric.

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Tomasz Rybicki. 2013-04-07. Hofer metric from the contact point of view. https://arxiv.org/abs/1304.1971

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