%0 Journal Article
%T Poisson Vector Fields on Weil Bundles
%A Norbert Mahoungou Moukala
%A Basile Guy Richard Bossoto
%J Advances in Pure Mathematics
%P 757-766
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.513069
%X In this paper, <em>M</em> is a smooth manifold of finite dimension n, <em>A</em> is a local algebra and <em>M</em><sup><em>A</em></sup> is the associated Weil bundle. We study Poisson vector fields on <em>M</em><sup><em>A</em></sup> and we prove that all globally hamiltonian vector fields on <em>M</em><sup><em>A</em></sup> are Poisson vector fields.
%K Weil Algebra
%K Weil Bundle
%K Poisson Manifold
%K Lie Derivative
%K Poisson 2-Form
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=60941