5 citations · 7 across the 20 of their papers we have counts for
11 papers · 1 filter
Ricci Solitons on the Lie Group and Applications
Mohammed El Amine Mekki, Ahmed Mohammed Cherif
In this paper, we study Ricci solitons on the three-dimensional solvable Lie group equipped with a left-invariant Riemannian metric, viewed as a generaliza…
On generalized -Parallel Maps
Ahmed Mohammed Cherif
In this paper, we introduce and study the notion of generalized -parallel maps between Riemannian manifolds, where is a vector field on the target manifold. We define the as…
Dirichlet Energy of the Scalar Curvature
Ahmed Mohammed Cherif
In this article, we derive the first variation formula for the Dirichlet scalar curvature energy functional on Riemannian manifolds. Motivated by this variational framework, we int…
Harmonic basis vector fields on surfaces
Abdelkader Zagane, Ahmed Mohammed Cherif
In this paper, we study local parameterizations of surfaces in the Euclidean space whose coordinate vector fields are harmonic sections with respect to the induced R…
On the non-existence of symphonic maps
Ahmed Mohammed Cherif, Kaddour Zegga
In this paper, we study the existence of symphonic maps on compact or complet non-compact Riemannian manifold into Riemannian manifolds admitting a conformal vector field or a non-…
Construction of normally biharmonic submanifolds
Ahmed Mohammed Cherif
We examine biharmonic submanifolds within warped product structures. For a submanifold and a positive smooth function , we study the inclus…
On the generalization of biharmonic hypersurfaces and biharmonic curves
Moustafa Tadj, Ahmed Mohammed Cherif, Fethi Latti
In this work, we extend the concepts of -biharmonic maps and -biharmonic hypersurfaces to provide a broader characterization of -harmonic hypersurfaces and -har…
Bi-symphonic maps between Riemannian manifolds
Ahmed Mohammed Cherif, Kaddour Zegga
This note introduces an extension to the definition of symphonic maps, denoted as , by exploring variations in the bi-energy functional associated with…
-tensional hypersurfaces in -dimensional space forms
Bouazza Kacimi, Ahmed Mohammed Cherif, Mustafa Özkan
In this paper, we investigate the classification of -tensional hypersurfaces in a -dimensional space form of constant sectional curvature . Our results show t…
On Ricci Solitons and Harmonic Vector Fields in the Thurston Geometry
Halima Boukhari, Hadjer Okbani, Ahmed Mohammed Cherif
In this paper, we consider a left-invariant Riemannian metric on the Lie group . We classify Ricci solitons on and show that all such solitons are expanding and…
On the generalized of -biharmonic and bi--harmonic maps
Fethi Latti, Ahmed Mohammed Cherif
In this note, we extend the definition of -biharmonic and bi--harmonic maps between two Riemannian manifolds and explore some of their properties.