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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/27121
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dc.contributor.authorSchmalz, Gerden
dc.contributor.authorGanji, Masouden
dc.date.accessioned2019-06-12T00:21:24Z-
dc.date.available2019-06-12T00:21:24Z-
dc.date.issued2019-04-
dc.identifier.citationAnnali di Matematica Pura ed Applicata, 198(2), p. 491-503en
dc.identifier.issn1618-1891en
dc.identifier.issn0373-3114en
dc.identifier.urihttps://hdl.handle.net/1959.11/27121-
dc.description.abstractWe introduce a CR-invariant class of Lorentzian metrics on a circle bundle over a three-dimensional CR structure, which we call FRT metrics. These metrics generalise the Fefferman metric, allowing for more control of the Ricci curvature, but are more special than the shearfree Lorentzian metrics introduced by Robinson and Trautman. Our main result is a criterion for embeddability of three-dimensional CR structures in terms of the Ricci curvature of the FRT metrics in the spirit of the results by Lewandowski et al. (Class Quantum Gravity 7(11):L241–L246, 1990) and also Hill et al. (Indiana Univ Math J 57(7):3131–3176, 2008. https://doi.org/10.1512/iumj.2008.57.3473).en
dc.languageenen
dc.publisherSpringeren
dc.relation.ispartofAnnali di Matematica Pura ed Applicataen
dc.titleA criterion for local embeddability of three-dimensional CR structuresen
dc.typeJournal Articleen
dc.identifier.doi10.1007/s10231-018-0785-1en
dc.subject.keywordsAlgebraic and Differential Geometry-
dc.subject.keywordsMathematical Aspects of General Relativity-
dc.subject.keywordsReal and Complex Functions (incl. Several Variables)-
local.contributor.firstnameGerden
local.contributor.firstnameMasouden
local.relation.isfundedbyARCen
local.subject.for2008010102 Algebraic and Differential Geometryen
local.subject.for2008010111 Real and Complex Functions (incl. Several Variables)en
local.subject.for2008010504 Mathematical Aspects of General Relativityen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailschmalz@une.edu.auen
local.profile.emailmganjia2@une.edu.auen
local.output.categoryC1en
local.grant.numberDP130103485en
local.record.placeau-
local.record.institutionUniversity of New England-
local.publisher.placeGermanyen
local.format.startpage491en
local.format.endpage503en
local.identifier.scopusid85051697534en
local.peerreviewedYesen
local.identifier.volume198en
local.identifier.issue2en
local.contributor.lastnameSchmalzen
local.contributor.lastnameGanjien
dc.identifier.staffune-id:schmalzen
dc.identifier.staffune-id:mganjia2en
local.booktitle.translatedAnnals of Pure and Applied Mathematicsen
local.profile.orcid0000-0002-6141-9329en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/215828-
local.identifier.unepublicationidune:chute-20180831-212323-
local.date.onlineversion2018-08-10-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleA criterion for local embeddability of three-dimensional CR structuresen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journal-
local.relation.grantdescriptionARC/DP130103485en
local.search.authorSchmalz, Gerden
local.search.authorGanji, Masouden
local.uneassociationUnknownen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000462444500010en
local.year.available2018en
local.year.published2019en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/44fe9bfe-b7f7-4632-8968-aee695b33491en
local.subject.for2020490402 Algebraic and differential geometryen
local.subject.for2020490411 Real and complex functions (incl. several variables)en
local.subject.for2020490204 Mathematical aspects of general relativityen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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