10 papers
On the Lie Foliation structure of Walker Manifolds
Ameth Ndiaye
We study Walker manifolds, that is, pseudo-Riemannian manifolds admitting a null parallel distribution $\D$ of rank . We show that $\D$ always integrate…
On the Classification of Non-Homogeneous Solvable Lie Foliations
Ameth Ndiaye
We study Lie foliations on compact manifolds whose transverse group is \emph{metabelian} (a natural generalization of the affine group $\GA$ considered in earlier work). We establi…
Rigidity of Nilpotent Lie Foliations: Cohomological Obstructions and Classification
Ameth Ndiaye
In this article, we develop a systematic cohomological framework for the study of the rigidity of nilpotent Lie foliations with respect to solvable deformations. We introduce the d…
Geometric study of non-constant vector fields making hyperbolic space Ricci-Bourguignon solitons
Mafal Ndiaye Diop, Abdou Bousso, Cheikh Khoule +1
The objective of this paper is to deepen the study of vector fields on hyperbolic spaces that transform them into a Ricci-Bourguignon soliton. Starting from a recent…
Ricci-Yamabe solitons on a Walker 3-manifold
Abdou Bousso, Ameth Ndiaye
This paper is devoted to the study of Ricci-Yamabe solitons on a particular class of Walker manifolds in dimension 3. We consider a Walker metric where the function f depends on th…
Ricci-Yamabe Soliton on a Class of -Dimensional Walker Manifolds
Abdou Bousso, Ameth Ndiaye
This article explores Ricci-Yamabe solitons on a specific class of 4-dimensional Walker manifolds. Walker manifolds, characterized by the existence of a parallel null distribution,…