Poisson Vector Fields on Weil Bundles  

作　　者：Norbert Mahoungou Moukala Basile Guy Richard Bossoto 

机构地区：[1]Faculty of Sciences and Technology, Marien NGOUABI University, Brazzaville, Congo [2]Institut de Recherche en Sciences Exactes et Naturelles (IRSEN), Brazzaville, Congo

出　　处：《Advances in Pure Mathematics》2015年第13期757-766,共10页理论数学进展（英文）

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 we prove that all globally hamiltonian vector fields on MA are Poisson vector fields.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.

关 键 词：WEIL ALGEBRA WEIL BUNDLE POISSON MANIFOLD LIE Derivative POISSON 2-Form 

分 类 号：O1[理学—数学]