Three dimensional homogeneous hyperbolic Yamabe solitons

Key Points

• Hyperbolic Yamabe solitons are examined, detailing their unique properties in three-dimensional spaces.
• Key findings include both unimodular and non-unimodular types of hyperbolic Yamabe solitons.
• The investigation focuses on special three-dimensional Lie groups and their influence on soliton properties.
• Discovering these solitons may deepen understanding of geometric structures in Lorentzian manifolds.