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Curvature homogeneous critical metrics in dimension three
| dc.contributor.author | Brozos-Vázquez, Miguel | |
| dc.contributor.author | Caeiro-Oliveira, Sandro | |
| dc.contributor.author | Garcia-Rio, Eduardo | |
| dc.date.accessioned | 2024-07-05T09:51:02Z | |
| dc.date.available | 2024-07-05T09:51:02Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Brozos-Vázquez, M., Caeiro-Oliveira, S., García-Río, E., 2022. Curvature homogeneous critical metrics in dimension three. Journal of Mathematical Analysis and Applications 514, 126354. https://doi.org/10.1016/j.jmaa.2022.126354 | es_ES |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/2183/37743 | |
| dc.description | Accepted manuscript | es_ES |
| dc.description.abstract | [Abstract] We study curvature homogeneous three-manifolds modeled on a symmetric space which are critical for some quadratic curvature functional. If the Ricci operator is diagonalizable, critical metrics are 1-curvature homogeneous Brinkmann waves and are critical for one specific functional. Otherwise, critical metrics are modeled on Cahen-Wallach symmetric spaces and they are Kundt spacetimes which are critical for all quadratic curvature functionals. | es_ES |
| dc.description.sponsorship | The authors have been supported by the projects PID2019-105138GB-C21 / AEI/ 10.13039/ 501100011033 (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 | Elsevier | 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/10.1016/j.jmaa.2022.126354 | es_ES |
| dc.rights | © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.subject | Quadratic curvature functional | es_ES |
| dc.subject | Critical metric | es_ES |
| dc.subject | Curvature homogeneous | es_ES |
| dc.subject | Semi-symmetric | es_ES |
| dc.title | Curvature homogeneous critical metrics in dimension three | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
| UDC.journalTitle | Journal of Mathematical Analysis and Applications | es_ES |
| UDC.volume | 514 | es_ES |
| UDC.issue | 2 | es_ES |
| UDC.startPage | 1 | es_ES |
| UDC.endPage | 16 | es_ES |
| dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2022.126354 |
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