2 citations · 2 across the 18 of their papers we have counts for
22 papers
Minimal translation hypersurfaces in hyperbolic space
Ameth Ndiaye
In the upper half-space model of the hyperbolic space , a translation hypersurface of type I is a graph and a translation hyper…
Ricci Solitons, Almost Theta-Yamabe Solitons, and Finite-Order Tensor Symmetries of a Vector Field on Riemannian Manifolds with Rank-One Anisotropic Curvature
Abdou Bousso, Ameth Ndiaye
We study the iterated action of the Lie derivative on the curvature tensor of a Riemannian manifold with rank-one anisotropic curvature, whose Riemann tensor is expressed via the K…
Characterization of contact structures for the dual form of the vector field of an h-Ricci-Bourguignon soliton on the product manifold D2 and R
Mafal Ndiaye Diop, Abdou Bousso, Ameth Ndiaye
In this paper, we study h-Ricci-Bourguignon solitons on the product manifold D2 x R, where D2 is the Poincare disk equipped with its standard hyperbolic metric. We first establish…
Ricci-Yamabe solitons on the Lie group $\Sol \times \mathbb{R}^n$
Abdou Bousso, Ameth Ndiaye
In this article, we study Ricci-Yamabe solitons on the Lie group equipped with a natural left-invariant Riemannian metric, explicitly determining…
D-modules and Solvable Lie Foliations
Ameth Ndiaye
Let be a compact connected manifold and a simply connected solvable Lie group. We study -Lie foliations on from the point of view of -module theory, fol…
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,…
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…
Integral formulas in -Almost Ricci-Bourguignon solitons
Abdou Bousso, Moctar Traore, Ameth Ndiaye
The aim of this paper is to investigate some integral formulas for compact gradient -almost Ricci-Bourguignon solitons. Consequently, we generalize the results previously ob tai…
-Contact Anosov flows
Cheikh Khoule, Matheus Manso, Ameth Ndiaye +1
We prove that smooth reparametrizations of the geodesic flow on a manifold of constant negative curvature are contact Anosov flows. In particular we give a new class of exponential…
On timelike Bonnet surfaces in Lorentzian 3-manifold
Athoumane Niang, Ameth Ndiaye, Adama Thiandoum
In this paper we generalized a result of Soley Ersoy and Kemal Eren [10] about Bonnet timelike surface in Minkowski 3-space. We give a necessary and sufficient condition for a surf…
Deformations of pairs of codimension one foliations
Ameth NDiaye, Aissa Wade
The notion of a linear deformation of a codimension one foliation into contact structures was introduced in [5]. This concept is a special type of deformation of confoliations. In…
Curves of Constant Breadth According to Darboux Frame in a Strict Walker 3-Manifold
Ameth Ndiaye
In this paper, we investigate the differential geometry properties of curves of constant breadth according to Darboux frame in a given strict Walker 3-manifold. The considered curv…
2-Ruled Hypersurfaces in a Walker 4-Manifold
Mohamed Ayatola Dramé, Ameth Ndiaye, Abdoul Salam Diallo
The hypersurface is one of the most important objects in a space. Many authors studied diffrent geometric aspects of hypersurfaces in a space. In this paper, we define three types…
2-Ruled hypersurfaces in Minkowski 4-space and their constructions via octonions
Ameth Ndiaye, Zehra Özdemir
In this paper, we define three types of 2-Ruled hypersurfaces in the Minkowski 4-space . We obtain Gaussian and mean curvatures of the 2-ruled hypersurfaces of type…
On Completely Solvable Lie Foliation
Ameth Ndiaye
In this paper we try to generalize the Haefliger theorem on completly solvable Lie foliations. We prove that: every completely solvable Lie foliation on a compact manifold is the i…
On fibering compact manifold over the circle
Ameth Ndiaye
In this paper, we show that any compact manifold that carries a SL(n;R)-foliation is fibered on the circle S^1.