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 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Extensions%20maximales%20et%20classification%20des%20tores%20lorentziens%20munis%20d'un%20champ%20de%20Killing&rft.atitle=Extensions%20maximales%20et%20classification%20des%20tores%20lorentziens%20munis%20d'un%20champ%20de%20Killing&rft.jtitle=Annales%20de%20l'Institut%20Fourier&rft.date=2020&rft.volume=70&rft.issue=1&rft.spage=67-168&rft.epage=67-168&rft.eissn=0373-0956&rft.issn=0373-0956&rft.au=BAVARD,%20Christophe&MOUNOUD,%20Pierre&rft.genre=article |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |