Conformally Einstein Lorentzian Lie groups: the non-solvable case

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorCalviño Louzao, Esteban
dc.contributor.authorGarcía Río, Eduardo
dc.contributor.authorGutiérrez Rodríguez, Ixchel Dzohara
dc.contributor.authorVázquez Lorenzo, Ramón
dc.date.accessioned2025-07-07T07:13:53Z
dc.date.available2025-07-07T07:13:53Z
dc.date.issued2025-07-07
dc.description.abstractWe describe all left-invariant Bach-flat Lorentz metrics on non-solvable four-dimensional Lie groups, showing that they are conformally Einstein if and only if they are locally conformally flat. As a consequence we show the existence of strictly Bach-flat left-invariant metrics on SU(2)xR whose restriction to SU(2) may be positive definite, Lorentzian or degenerate.
dc.description.sponsorshipSupported by Grants ED431F 2020/04, ED431C 2023/31 (Xunta de Galicia, Spain) and PID2021-127075NA-I00, PID2022-138988NB-I00 funded by MICIU/AEI/10.13039/501100011033 and by ERDF, EU.
dc.identifier.citationCalviño-Louzao, E., García-Río, E., Gutiérrez-Rodríguez, I. et al. Conformally Einstein Lorentzian Lie Groups: The Non-solvable Case. J Nonlinear Sci 35, 86 (2025). https://doi.org/10.1007/s00332-025-10183-2
dc.identifier.doi10.1007/s00332-025-10183-2
dc.identifier.essn1432-1467
dc.identifier.issn0938-8974
dc.identifier.urihttps://hdl.handle.net/10347/42405
dc.journal.titleJournal of Nonlinear Science
dc.language.isoeng
dc.publisherSpringer-Verlag
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-127075NA-I00/ES/METODOS ALGEBRAICOS EN GEOMETRIA Y METODOS GEOMETRICOS EN ALGEBRA
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-138988NB-I00/ES/SUBVARIEDADES, CURVATURA Y ECUACIONES GEOMETRICAS DESDE LA PERSPECTIVA DE LA SIMETRIA
dc.relation.publisherversionhttps://doi.org/10.1007/s00332-025-10183-2
dc.rights© The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectConformally Einstein
dc.subjectBach tensor
dc.subjectC-space
dc.subjectLie group
dc.titleConformally Einstein Lorentzian Lie groups: the non-solvable case
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number35
dspace.entity.typePublication
relation.isAuthorOfPublicationc23d014b-5c11-405d-af42-f172f0f55eb9
relation.isAuthorOfPublicationec9990c8-cf8e-458f-a085-ab04049d8d76
relation.isAuthorOfPublication.latestForDiscoveryc23d014b-5c11-405d-af42-f172f0f55eb9

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