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Moukala Mahoungou, N. and Bossoto, B. G.R. Prolongation of Poisson 2-Form on Weil Bundles.

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• TITLE: Poisson Vector Fields on Weil Bundles

  AUTHORS: Norbert Mahoungou Moukala, Basile Guy Richard Bossoto

  KEYWORDS: Weil Algebra, Weil Bundle, Poisson Manifold, Lie Derivative, Poisson 2-Form

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.13, November 9, 2015

  ABSTRACT: 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.