Hofer metric from the contact point of view

preprint2014arXivOpen access

Abstract

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

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