Hofer metric from the contact point of view

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.

arXiv commentThe proofs of 1.5 and 1.7 are wrong