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Homogeneous and curvature homogeneous Lorentzian critical metrics
| dc.contributor.author | Brozos-Vázquez, Miguel | |
| dc.contributor.author | Caeiro-Oliveira, Sandro | |
| dc.contributor.author | Garcia-Rio, Eduardo | |
| dc.date.accessioned | 2024-07-04T11:55:07Z | |
| dc.date.available | 2024-07-04T11:55:07Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Brozos-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.2022.44 | es_ES |
| dc.identifier.issn | 0308-2105 | |
| dc.identifier.uri | http://hdl.handle.net/2183/37717 | |
| 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.sponsorship | Supported by projects PID2019-105138GB-C21(AEI/FEDER, Spain) and ED431C 2019/10, ED431F 2020/04 (Xunta de Galicia, Spain). | es_ES |
| dc.description.sponsorship | Xunta de Galicia; ED431C 2019/10 | es_ES |
| dc.description.sponsorship | Xunta de Galicia; ED431F 2020/04 | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Cambridge University Press | es_ES |
| dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105138GB-C21 | es_ES |
| dc.relation.uri | https://doi.org/10.1017/prm.2022.44 | es_ES |
| dc.rights | Creative Commons Attribution licence https://creativecommons.org/licenses/by/4.0 | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
| dc.subject | Quadratic curvature functional | es_ES |
| dc.subject | Lorentzian | es_ES |
| dc.subject | Critical metric | es_ES |
| dc.subject | Curvature homogeneous | es_ES |
| dc.subject | Homogeneous | es_ES |
| dc.subject | Ricci soliton | es_ES |
| dc.title | Homogeneous and curvature homogeneous Lorentzian critical metrics | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
| UDC.journalTitle | Proceedings of the Royal Society of Edinburgh Section A: Mathematics | es_ES |
| UDC.volume | 153 | es_ES |
| UDC.issue | 4 | es_ES |
| UDC.startPage | 1272 | es_ES |
| UDC.endPage | 1296 | es_ES |
| dc.identifier.doi | https://doi.org/10.1017/prm.2022.44 |
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