Generalized n-Poisson brackets on a symplectic manifold

Details Generalized n-Poisson brackets on a symplectic manifold Generalized n-Poisson brackets on a symplectic manifold

1999-02-23

arxiv.org/abs/math/9902129v1

Mathematics

Differential Geometry

Latex, 10 pages, to appear in Mod. Phys. Lett. A

Scientific paper

On a symplectic manifold a family of generalized Poisson brackets associated
with powers of the symplectic form is studied. The extreme cases are related to
the Hamiltonian and Liouville dynamics. It is shown that the Dirac brackets can
be obtained in a similar way.

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