8 papers
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…
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,…
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…