Solvable Algebraic Generalized Ricci Solitons in low dimensions

Lorenzo Mucciante

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arXiv · 2610.01608

Solvable Algebraic Generalized Ricci Solitons in low dimensions

Lorenzo Mucciante

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Abstract

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.

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BibTeX RIS

Lorenzo Mucciante. 2026-10-01. Solvable Algebraic Generalized Ricci Solitons in low dimensions. https://arxiv.org/abs/2610.01608

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