Classical mechanical systems based on Poisson symmetry

Details Classical mechanical systems based on Poisson symmetry Classical mechanical systems based on Poisson symmetry

1996-12-04

arxiv.org/abs/dg-ga/9612005v1

Acta Physica Polonica B, vol. 27 No. 10 (1996), 2801--2810

Mathematics

Differential Geometry

LaTeX, 9 pages

Scientific paper

The 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.

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