arXiv subjects

Norbert Mahoungou Moukala

Publications and source records attributed to Norbert Mahoungou Moukala.

2 recordsLinked to original sources

arXiv2015

Prolongation of Poisson 2-form on Weil bundles

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.

math.DG↗

arXiv2015

Hamiltonian vector fields on Weil bundles

Let M be a paracompact smooth manifold, A a Weil algebra and M^{A} the associated Weil bundle. In this paper, we give a characterization of hamiltonian field on M^{A} in the case of Poisson manifold and of Symplectic manifold.

math.DG↗