Classical mechanical systems based on Poisson symmetry

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152191The existence of the theory of `twisted cotangent bundles' (symplectic groupoids) allows to study classical mechanical systems which are generalized in the sense that their configurations form a Poisson manifold. It is natural to study from this point of view first such systems which arise in the context of some basic physical symmetry (space-time, rotations, etc.). We review results obtained so far in this direction.LaTeX, 9 pagesDifferential Geometry58F05 (Primary) 22A22, 58H05, 53Z05 (Secondary)Classical mechanical systems based on Poisson symmetrytext