https://neckpinch.com/authors/halima-boukhari/New arXiv papers by Halima Boukhari, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2603.08969/arxiv: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