10 papers · 1 filter
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,…
Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion
El Hadji Baye Camara, Athoumane Niang, Ameth Ndiaye +1
Given a non-null curve in a strict Walker 3-manifold, first we show that (locally) lies in a flat cylinder with a null axis. Secondly, we construct an example of such a cur…
Ricci Solitons on the Poincaré upper half plane
Abdou Bousso, Ameth Ndiaye
In this paper, we characterize the Ricci soliton equations on the Poincaré upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of…