Four-dimensional Lorentzian algebraic Ricci solitons
Differential Geometry
2026-01-23 v1
Abstract
We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any connected and simply connected four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton.
Keywords
Cite
@article{arxiv.2601.15730,
title = {Four-dimensional Lorentzian algebraic Ricci solitons},
author = {Eduardo Garcia-Rio and Rosalia Rodriguez-Gigirey and Ramon Vazquez-Lorenzo},
journal= {arXiv preprint arXiv:2601.15730},
year = {2026}
}