论文标题
无穷小泊松代数和哈密顿系统的线性化
Infinitesimal Poisson Algebras and Linearization of Hamiltonian Systems
论文作者
论文摘要
使用违反衍生物的概念，我们给出了与泊松submanifolds无限数据相关的泊松代数的一些代数和几何表征。我们表明，这样的一类Poisson代数为研究泊松submanifolds线性化动力学的研究提供了合适的框架。
Using the notion of a contravariant derivative, we give some algebraic and geometric characterizations of Poisson algebras associated to the infinitesimal data of Poisson submanifolds. We show that such a class of Poisson algebras provides a suitable framework for the study of the Hamiltonization problem for the linearized dynamics along Poisson submanifolds.
