2 citations · 2 across the 18 of their papers we have counts for
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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…