Four-dimensional Lorentzian algebraic Ricci solitons
We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton.
| Authors: | , , |
|---|---|
| Format: | article |
| Publication Date: | 2026 |
| Country: | España |
| Institution: | Universidad de Santiago de Compostela (USC) |
| Repository: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Language: | English |
| OAI Identifier: | oai:dnet:minerva_____::5cef9777e0b569eb6fcf3f95e4e720eb |
| Online Access: | https://hdl.handle.net/10347/46660 |
| Access Level: | Open access |
| Keyword: | Lorentzian Lie group Algebraic Ricci soliton Plane waves Critical metric Quadratic curvature functional |
| Summary: | We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton. |
|---|