Free motion on the Poisson plane and sphere

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Poisson 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.
LaTeX, 9 pages

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Differential Geometry, 58F05 (Primary) 22A22, 58H05, 53Z05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/152192

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9612006
 http://arxiv.org/abs/dg-ga/9612006

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arXiv