From the 1 of 13 linked papers with an AI index.
13 papers
Ricci Solitons on the Lie Group and Applications
Mohammed El Amine Mekki, Ahmed Mohammed Cherif
The paper investigates Ricci solitons on the three‑dimensional solvable Lie group Sol³_{m,n} equipped with a left‑invariant Riemannian metric, analyzing harmonic maps, harmonic sec…
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…
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…
Second Variation of F-Einstein-Hilbert Functional
Ahmed Mohammed Cherif
This article describes a formula for second variation of generalized Einstein-Hilbert functional on Riemannian manifolds. This work extends the definition of stable Einstein manifo…
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-…