On Sandon-type metrics for contactomorphism groups
Some contact manifolds admitting a 1-periodic Reeb flow are considered. A new construction of a stabby unbounded conjugation-invariant norm on the universal cover of the contactomorphism group is presented. It is proved that this norm induces a conjugation-invariant norm on the contactomorphism group. The problem of the boundedness of conjugation-invariant norms for contactomorphisms is studied.
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