Geodesics of norms on the contactomorphisms group of R2n×S1
Authors: Pierre-Alexandre Arlove
Summary: We show that some paths of contactomorphisms of R2n×S1 endowed with its commonplace contact construction are geodesics for various norms outlined on the id element of the group of compactly supported contactomorphisms and its common cowl. We characterize these geodesics by giving circumstances on the Hamiltonian features that generate them. For each norm thought of we present that the norm of a contactomorphism that’s the time-one of such a geodesic could be expressed when it comes to the utmost of absolutely the worth of the corresponding Hamiltonian operate. Particularly we get better the truth that these norms are unbounded
