https://neckpinch.com/authors/ahmed-mohammed-cherif/New arXiv papers by Ahmed Mohammed Cherif, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2607.26240arxiv:2607.26240Tue, 28 Jul 2026 00:00:00 GMTMohammed El Amine Mekki, Ahmed Mohammed Cherif — In this paper, we study Ricci solitons on the three-dimensional solvable Lie group Sol³_(m,n) equipped with a left-invariant Riemannian metric, viewed as a generalization of the classical Sol³ geometry. We investigate harmonic maps, harmonic sections, and geodesic curves, including the geodesic properties of the integral curves of the Ricci soliton vector field. We also characterize harmonic linear maps from Sol³_(m,n) into Euclidean spaces.Ricci solitons3-manifoldsHomogeneous spacesHarmonic maps & DeTurck trick https://arxiv.org/abs/2606.15790arxiv:2606.15790Sun, 14 Jun 2026 00:00:00 GMTAhmed 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-trivial Ricci solitons.Ricci solitonsBoundaries & non-compact https://arxiv.org/abs/2603.08969arxiv:2603.08969Mon, 09 Mar 2026 00:00:00 GMTHalima Boukhari, Hadjer Okbani, Ahmed Mohammed Cherif — In this paper, we consider a left-invariant Riemannian metric g on the Lie group F⁴. We classify Ricci solitons on (F⁴,g) and show that all such solitons are expanding and non-gradient. Moreover, we study the existence of harmonic maps from compact Riemannian manifolds into (F⁴,g). Finally, we characterize a class of harmonic vector fields on (F⁴,g).Ricci solitonsGeometrizationHomogeneous spacesHarmonic maps & DeTurck trick https://arxiv.org/abs/2204.00063arxiv:2204.00063Thu, 31 Mar 2022 00:00:00 GMTAhmed Mohammed Cherif, Kaddour Zegga, Gherici Beldjilali — In this note, we find a necessary condition on odd-dimensional Riemannian manifolds under which both of Sasakian structure and the generalised Ricci soliton equation are satisfied, and we give some examples.Generalized & G₂ flowsRicci solitonsSasakian & contact geometry