Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group
Abstract
In the framework of the study of homogeneous Lorentzian three-manifolds, we consider here the only class of examples which admit a four-dimensional group of isometries but are neither Lorentzian Bianchi–Cartan–Vranceanu spaces nor plane waves. We obtain an explicit description in global coordinates of these special homogeneous Lorentzian manifolds. We then prove that all such examples are non-gradient expanding Ricci solitons.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of Lie Theory
- Volume
- 0
- Pages
- 1–11
- Publication date
- 1 January 2026
- Language
- EN