Nambu-Dirac Structures on Lie Algebroids
辛几何
2007-05-23 v2 数学物理
math.MP
摘要
The theory of Nambu-Poisson structures on manifolds is extended to the context of Lie algebroids, in a natural way based on the Vinogradov bracket associated with Lie algebroid cohomology. We show that, under certain assumptions, any Nambu-Poisson structure on a Lie algebroid is decomposable.Also, we introduce the concept of a higher order Dirac structure on a Lie algebroid. This allows to describe both Nambu-Poisson structures on Lie algebroids and Dirac structures on manifolds in the same setting.
引用
@article{arxiv.math/0204310,
title = {Nambu-Dirac Structures on Lie Algebroids},
author = {Aissa Wade},
journal= {arXiv preprint arXiv:math/0204310},
year = {2007}
}
备注
minor corrections