Four-dimensional Lorentzian algebraic Ricci solitons

Key Points

• The study aims to describe the characteristics of four-dimensional Lorentzian algebraic Ricci solitons.
• Analysis of four-dimensional Lorentzian geometry
• Examination of left-invariant metrics on Lie groups
• Comparison with Riemannian geometrical structures
• Every four-dimensional Lie group can support a left-invariant Lorentz metric as a Ricci soliton.
• The findings contrast sharply with the behaviors observed in Riemannian spaces.