Free motion on the Poisson plane and sphere

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dc.creatorZakrzewski, S.
dc.date1996-12-04
dc.date.accessioned2026-07-07T09:12:56Z
dc.date.available2026-07-07T09:12:56Z
dc.descriptionPoisson plane and sphere --- homogeneous spaces of Poisson groups E(2) and SU(2) (resp.) --- have phase spaces (corresponding symplectic groupoids), in which a free Hamiltonian is naturally defined. We solve the equations of motion and point out some unexpected features: free motion on the plane is bounded (periodic) and free trajectories on the sphere are all circles except the big ones.
dc.descriptionLaTeX, 9 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9612006
dc.identifierhttp://arxiv.org/abs/dg-ga/9612006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152192
dc.subjectDifferential Geometry
dc.subject58F05 (Primary) 22A22, 58H05, 53Z05 (Secondary)
dc.titleFree motion on the Poisson plane and sphere
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