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arXiv · 2601.15730

Four-dimensional Lorentzian algebraic Ricci solitons

Eduardo Garcia-Rio·Rosalia Rodriguez-Gigirey·Ramon Vazquez-Lorenzo
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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.

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Eduardo Garcia-Rio, Rosalia Rodriguez-Gigirey, Ramon Vazquez-Lorenzo. 2026-01-22. Four-dimensional Lorentzian algebraic Ricci solitons. https://arxiv.org/abs/2601.15730

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