3 citations · 4 across the 7 of their papers we have counts for
13 papers
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…
Eckardt points on a cubic threefold
Gloire Grace Bockondas, Basile Guy Richard Bossoto
In this paper we survey Eckardt points on a smooth complex cubic threefold with an approach aimed at computing all Eckardt points of a cubic threefold. In addition, we construct cu…
A Continued Fraction-Hyperbola based Attack on RSA cryptosystem
Gilda Rech Bansimba, Regis Freguin Babindamana, Basile Guy R. Bossoto
In this paper we present new arithmetical and algebraic results following the work of Babindamana and al. on hyperbolas and describe in the new results an approach to attacking a R…
A New Hyperbola based Approach to factoring Integers
Gilda Rech Bansimba, Regis Freguin Babindamana, Basile Guy R. Bossoto
From the results in the literature, the algebraic set of the hyperbola with parameter defined by $\mathcal{B}_{n}(X, Y, Z)_{\mid_{x\geq 4n}}= \displaystyle \lbrace \left(X: Y:…
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}…