Extensions maximales et classification des tores lorentziens munis d'un champ de Killing
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BAVARD, Christophe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MOUNOUD, Pierre | |
| dc.date.accessioned | 2024-04-04T03:11:33Z | |
| dc.date.available | 2024-04-04T03:11:33Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0373-0956 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193787 | |
| dc.description.abstractEn | We define a family of model spaces for 2-dimensional Lorentzian geometry, consisting of simply connected inextendable Lorentzian surfaces admitting a Killing field. These spaces, called " universal extensions " , are constructed by an extension process and characterized by symmetry and completeness conditions. In general, these surfaces have a rich combinatorics and admit many quotient spaces and many divisible open sets. As applications, we show the existence of plenty (both topologically and geometrically) of Lorentzian surfaces with a Killing field. We also prove uniformisation results for the compact case and for the analytic case, which in particular allows us to give a classification of Lorentzian tori and Klein bottles with a Killing field. | |
| dc.language.iso | fr | |
| dc.publisher | Association des Annales de l'Institut Fourier | |
| dc.title | Extensions maximales et classification des tores lorentziens munis d'un champ de Killing | |
| dc.title.en | Maximal extensions and classification of Lorentzian tori endowed with a Killing field | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.5802/aif.3309 | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| bordeaux.journal | Annales de l'Institut Fourier | |
| bordeaux.page | 67-168 | |
| bordeaux.volume | 70 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01445222 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01445222v1 | |
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