3 citations · 4 across the 7 of their papers we have counts for
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Strict lifts and cohomological obstructions in symplectic Lie--Rinehart--Jacobi prequantization
Basile Guy Richard Bossoto, Servais Cyr Gatsé, Olivier Mabiala Mikanou
Let $(\G,ρ,ω)$ be a symplectic Lie--Rinehart--Jacobi algebra over a commutative algebra , equivalently a Lie--Rinehart algebra $(\G,\barρ)$ endowed with a -cocycle and a…
Anchor Radicals and Metric Rigidity in -Lie--Rinehart Algebras
Irmely Gladesh Mabanza Nsiloulou, Basile Guy Richard Bossoto
For an -Lie--Rinehart algebra, , the anchor is defined on $\Aext{n-1}L$, so its kernel does not determine a distinguished submodule of . We introduce the anchor radical…
Canonical 1-form associated with a Lie-Rinehart structures on weil bundles
Olivier Mabiala Mikanou, Basile Guy Richard Bossoto
In this paper, we denote by A a Weil algebra, M a smooth manifold and M^{A} the associated Weil bundle and we study the properties of differential operators on M^{A} and construct…
Hamiltonian vector fields on Weil bundles
Norbert Mahoungou Moukala, Basile Guy Richard Bossoto
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 o…
Prolongation of Poisson 2-form on Weil bundles
Norbert Mahoungou Moukala, Basile Guy Richard Bossoto
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…
Note on Poisson cohomology on Weil bundles
Basile Guy Richard Bossoto, Olivier Mabiala Mikanou, NNguéngué Louvouandou Jugendène Apépé
Let M be a Poisson manifold and A a Weil algebra. We describe an isomorphism of cohomolgy algebra and proves that Poisson cohomology with values in A is isomorphic to the tensor pr…
New characterization of vector field on Weil bundles
Borhen Vann Nkou, Basile Guy Richard Bossoto, Eugène Okassa
Let M be a paracompact smooth manifold, A a Weil algebra and M^A the associated Weil bundle. In this paper, we give another definition and characterization of vector field on M^A.
Lie algebra of an n-Lie algebra
Basile Guy Richard Bossoto, Eugène Okassa, Mathias Omporo
We construct the Lie algebra of an n-Lie algebra and we also define the notion of cohomology of an n-Lie algebra.
Cohomology associated to a Poisson structure on Weil bundles
Vann Borhen Nkou, Basile Guy Richard Bossoto
Let M be a paracompact smooth manifold of dimension n; A a Weil algebra and M^A the Weil bundle associated. We define and describe the notion of \widetilded-Poisson cohomology and…
A-Poisson structures
Basile Guy Richard Bossoto, Eugène Okassa
Let M be a paracompact differentiable manifold, A a local algebra and M^{A} a manifold of infinitely near points on M of kind A. We define the notion of A-Poisson manifold on M^{A}…