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.