Affine transformations and parallel lightlike vector fields on compact Lorentzian $3$-manifolds
| hal.structure.identifier | Institut de Recherche Mathématique Avancée [IRMA] | |
| dc.contributor.author | BOUBEL, Charles | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MOUNOUD, Pierre | |
| dc.date.accessioned | 2024-04-04T03:18:03Z | |
| dc.date.available | 2024-04-04T03:18:03Z | |
| dc.date.created | 2014-04-04 | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194367 | |
| dc.description.abstractEn | We describe the compact Lorentzian $3$-manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian $3$-manifolds admitting non-isometric affine diffeomorphisms follows, together with the complete description of these morphisms. Such a Lorentzian manifold is in some sense an equivariant deformation of a flat one. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | parallel vector field | |
| dc.subject.en | affine map | |
| dc.subject.en | holonomy | |
| dc.subject.en | Lorentzian manifold | |
| dc.title.en | Affine transformations and parallel lightlike vector fields on compact Lorentzian $3$-manifolds | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/tran/6645 | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 1404.1357 | |
| bordeaux.journal | Transactions of the American Mathematical Society | |
| bordeaux.page | 2223-2262 | |
| bordeaux.volume | 368 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00973940 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00973940v1 | |
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