Geodesics of norms on the contactomorphisms group of R2n×S1
Authors: Pierre-Alexandre Arlove
Abstract: We present that some paths of contactomorphisms of R2n×S1 endowed with its commonplace contact development are geodesics for varied norms outlined on the id ingredient of the group of compactly supported contactomorphisms and its frequent cowl. We characterize these geodesics by giving circumstances on the Hamiltonian options that generate them. For every norm considered we current that the norm of a contactomorphism that is the time-one of such a geodesic may very well be expressed in relation to the utmost of completely the value of the corresponding Hamiltonian function. Significantly we get higher the reality that these norms are unbounded
