Homogeneous and curvature homogeneous Lorentzian critical metrics

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticasgl
dc.contributor.authorBrozos Vázquez, Miguel
dc.contributor.authorCaeiro Oliveira, Sandro
dc.contributor.authorGarcía Río, Eduardo
dc.date.accessioned2022-09-28T11:02:14Z
dc.date.available2022-09-28T11:02:14Z
dc.date.issued2022
dc.description.abstractWe 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 Einsteingl
dc.description.peerreviewedSIgl
dc.description.sponsorshipSupported by projects PID2019-105138GB-C21(AEI/FEDER, Spain) and ED431C 2019/10, ED431F 2020/04 (Xunta de Galicia, Spain)gl
dc.identifier.citationBrozos-Vázquez, M., Caeiro-Oliveira, S., & García-Río, E. (2022). Homogeneous and curvature homogeneous Lorentzian critical metrics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-25. doi:10.1017/prm.2022.44gl
dc.identifier.doi10.1017/prm.2022.44
dc.identifier.essn1473-7124
dc.identifier.issn0308-2105
dc.identifier.urihttp://hdl.handle.net/10347/29282
dc.language.isoenggl
dc.publisherCambridge University Pressgl
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105138GB-C21/ES/SIMETRIA, CURVATURA Y ECUACIONES GEOMETRICASgl
dc.relation.publisherversionhttps://doi.org/10.1017/prm.2022.44gl
dc.rights© The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly citedgl
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectQuadratic curvature functionalgl
dc.subjectLorentziangl
dc.subjectCritical metricgl
dc.subjectCurvature homogeneusgl
dc.subjectHomogeneusgl
dc.subjectRicci solitongl
dc.titleHomogeneous and curvature homogeneous Lorentzian critical metricsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublicationc23d014b-5c11-405d-af42-f172f0f55eb9
relation.isAuthorOfPublication.latestForDiscoveryc23d014b-5c11-405d-af42-f172f0f55eb9

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