Some remarks concerning Nambu mechanics

被引：116

作者：

Gautheron, P

机构：

[1] Lab. d'Algèbre et d'Analyse, Université de Bourgogne, F-21004 Dijon Cedex

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1996年 / 37卷 / 01期

关键词：

Nambu mechanics; Nambu-Poisson manifolds; Hamiltonian formalism; Nambu brackets;

D O I：

10.1007/BF00400143

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The structure of Nambu-Poisson brackets is studied and we establish that any Nambu tensor is decomposable. We show that every Nambu-Poisson manifold admits a local foliation by canonical Nambu-Poisson manifolds. Finally, a cohomology for Nambu (Lie) algebras which is adapted to the study of formal deformations of Nambu structures is introduced.

引用

页码：103 / 116

页数：14