Conformally homogeneous Lorentzian spaces
| Autor: | Alekseevsky, Dmitri V., Galaev, Anton S. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove that if a simply connected non-conformally flat conformal Lorentzian manifold $(M,c)$ admits an essential transitive group of conformal transformations, then there exists a metric $g\in c$ such that $(M,g)$ is a complete homogeneous plane wave. We also prove that the group of conformal transformations of a non-conformally flat simply connected homogeneous plane wave $(M,g)$ consists of homotheties, hence it is a 1-dimensional extension of the group of isometries. Comment: 15 pages; an improved version |
| Databáze: | arXiv |
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