Variétés de Poisson polarisées

Details Variétés de Poisson polarisées Variétés de Poisson polarisées

2003-07-09

arxiv.org/abs/math/0307119v1

Mathematics

Differential Geometry

19 pages, Latex

Scientific paper

We introduce and study the basic notion of polarized Poisson manifolds generalizing the classical case of Poisson manifolds and extend this last notion for the ${k-}$% symplectic stuctures. And also, we show that for any polarized Hamiltonian map, the associated Nambu's dynamical system and polarized Hamiltonian system are connected by relations characterizing the mechanical aspect of the $k-$symplectic geometry.

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