Prolongation of Poisson 2-form on Weil bundles
Differential Geometry
2015-09-10 v1
Abstract
In this paper, M denotes a smooth manifold of dimension n, A a Weil algebra and M^{A} the associated Weil bundle. When (M,_{M}) is a Poisson manifold with 2-form _{M}, we construct the 2-Poisson form _{M^{A}}^{A}, prolongation on M^{A} of the 2-Poisson form _{M}. We give a necessary and sufficent condition for that M^{A} be an A-Poisson manifold.
Keywords
Cite
@article{arxiv.1509.02720,
title = {Prolongation of Poisson 2-form on Weil bundles},
author = {Norbert Mahoungou Moukala and Basile Guy Richard Bossoto},
journal= {arXiv preprint arXiv:1509.02720},
year = {2015}
}