Poisson Vector Fields on Weil Bundles

Norbert Mahoungou Moukala; Basile Guy Richard Bossoto

doi:10.4236/apm.2015.513069

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Advances in Pure Mathematics > Vol.5 No.13, November 2015

Poisson Vector Fields on Weil Bundles ()

Norbert Mahoungou Moukala^1*, Basile Guy Richard Bossoto^1,2

¹Faculty of Sciences and Technology, Marien NGOUABI University, Brazzaville, Congo.
²Institut de Recherche en Sciences Exactes et Naturelles (IRSEN), Brazzaville, Congo.

DOI: 10.4236/apm.2015.513069 PDF HTML XML 2,306 Downloads 2,701 Views Citations

Abstract

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

Keywords

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

Share and Cite:

Moukala, N. and Bossoto, B. (2015) Poisson Vector Fields on Weil Bundles. Advances in Pure Mathematics, 5, 757-766. doi: 10.4236/apm.2015.513069.

Conflicts of Interest

The authors declare no conflicts of interest.

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