泊松极化变率
Variétés de Poisson polarisées
摘要：
本文引入并研究了极化Poisson流形的基本概念，推广了Poisson流形的经典情形，并将其推广到${k-}$ %辛结构中.此外，我们还表明，对于任何极化Hamilton映射，相关的Nambu动力系统和极化Hamilton系统通过表征$k-$辛几何力学方面的关系连接。
英文摘要：
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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