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Extensions maximales et classification des tores lorentziens munis d'un champ de Killing

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBAVARD, Christophe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMOUNOUD, Pierre
dc.date.accessioned2024-04-04T03:11:33Z
dc.date.available2024-04-04T03:11:33Z
dc.date.issued2020
dc.identifier.issn0373-0956
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193787
dc.description.abstractEnWe 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.isofr
dc.publisherAssociation des Annales de l'Institut Fourier
dc.titleExtensions maximales et classification des tores lorentziens munis d'un champ de Killing
dc.title.enMaximal extensions and classification of Lorentzian tori endowed with a Killing field
dc.typeArticle de revue
dc.identifier.doi10.5802/aif.3309
dc.subject.halMathématiques [math]/Géométrie différentielle [math.DG]
bordeaux.journalAnnales de l'Institut Fourier
bordeaux.page67-168
bordeaux.volume70
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01445222
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01445222v1
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