Poisson Vector Fields on Weil Bundles

来源 :理论数学进展(英文) | 被引量 : 0次 | 上传用户：chenwu

【摘要】

：

In this paper, M is a smooth manifold of finite dimension n, A is a local algebra and MA is the associated Weil bundle. We study Poisson vector fields on MA and

【作者】

：

Norbert Mahoungou Moukala Basi

【机构】

：

FacultyofSciencesandTechnology,InstitutdeRechercheenSciencesExactesetNaturelles（IRSEN）

【出处】

：

理论数学进展(英文)

【发表日期】

：

2015年13期

【关键词】

：

WEIL ALGEBRA WEIL BUNDLE POISSON MANIFOLD LIE Derivative POISSON 2-Form Weil Alg

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In this paper, M is a smooth manifold of finite dimension n, A is a local algebra and MA is the associated Weil bundle. We study Poisson vector fields on MA and we prove that all globally hamiltonian vector fields on MA are Poisson vector fields.

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Poisson Vector Fields on Weil Bundles

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