https://neckpinch.com/authors/lorenzo-mucciante/New arXiv papers by Lorenzo Mucciante, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2610.01608/arxiv:2610.01608Thu, 01 Oct 2026 00:00:00 GMTLorenzo Mucciante — We prove new structural results for algebraic generalized Ricci solitons on solvable Lie algebras and we discuss the existence of examples in low dimensions. We establish that all non-trivial solvable algebraic generalized Ricci solitons must be expanding and give necessary conditions for the existence of such solitons on one-dimensional extensions of abelian Lie algebras. Finally, we classify algebraic generalized Ricci solitons on three-dimensional Lie algebras, and algebraic generalized Ricci solitons on four-dimensional solvable unimodular Lie algebras, up to isometry and scaling.Generalized & G₂ flowsRicci solitons3-manifolds4-manifoldsHomogeneous spaces