Homogeneous and curvature homogeneous Lorentzian critical metrics

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoMatemáticases_ES
UDC.endPage1296es_ES
UDC.grupoInvXeometría Diferencial e as súas Aplicacións (XDA)es_ES
UDC.issue4es_ES
UDC.journalTitleProceedings of the Royal Society of Edinburgh Section A: Mathematicses_ES
UDC.startPage1272es_ES
UDC.volume153es_ES
dc.contributor.authorBrozos-Vázquez, Miguel
dc.contributor.authorCaeiro-Oliveira, Sandro
dc.contributor.authorGarcia-Rio, Eduardo
dc.date.accessioned2024-07-04T11:55:07Z
dc.date.available2024-07-04T11:55:07Z
dc.date.issued2023
dc.description.abstract[Abstract] We determine all three-dimensional homogeneous and 1 -curvature homogeneous Lorentzian metrics which are critical for a quadratic curvature functional. As a result, we show that any quadratic curvature functional admits different non-Einstein homogeneous critical metrics and that there exist homogeneous metrics which are critical for all quadratic curvature functionals without being Einstein.es_ES
dc.description.sponsorshipSupported by projects PID2019-105138GB-C21(AEI/FEDER, Spain) and ED431C 2019/10, ED431F 2020/04 (Xunta de Galicia, Spain).es_ES
dc.description.sponsorshipXunta de Galicia; ED431C 2019/10es_ES
dc.description.sponsorshipXunta de Galicia; ED431F 2020/04es_ES
dc.identifier.citationBrozos-Vázquez M, Caeiro-Oliveira S, García-Río E. Homogeneous and curvature homogeneous Lorentzian critical metrics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2023;153(4):1272-1296. doi:10.1017/prm.2022.44es_ES
dc.identifier.doihttps://doi.org/10.1017/prm.2022.44
dc.identifier.issn0308-2105
dc.identifier.urihttp://hdl.handle.net/2183/37717
dc.language.isoenges_ES
dc.publisherCambridge University Presses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105138GB-C21es_ES
dc.relation.urihttps://doi.org/10.1017/prm.2022.44es_ES
dc.rightsCreative Commons Attribution licence https://creativecommons.org/licenses/by/4.0es_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectQuadratic curvature functionales_ES
dc.subjectLorentzianes_ES
dc.subjectCritical metrices_ES
dc.subjectCurvature homogeneouses_ES
dc.subjectHomogeneouses_ES
dc.subjectRicci solitones_ES
dc.titleHomogeneous and curvature homogeneous Lorentzian critical metricses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublication3f4c32f6-a0d0-4090-8a4f-b333106e7a65
relation.isAuthorOfPublication.latestForDiscovery3f4c32f6-a0d0-4090-8a4f-b333106e7a65

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