https://neckpinch.com/authors/mohammed-el-amine-mekki/New arXiv papers by Mohammed El Amine Mekki, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2607.26240/arxiv: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