Geometry of four-dimensional Kähler and para-Kähler Lie groups

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Facultade de Matemáticas
dc.contributor.authorFerreiro Subrido, María
dc.contributor.authorGarcía Río, Eduardo
dc.contributor.authorVázquez Lorenzo, Ramón
dc.date.accessioned2024-10-30T13:21:42Z
dc.date.available2024-10-30T13:21:42Z
dc.date.issued2024
dc.description.abstractWe classify four-dimensional para-Kahler Lie algebras and study their geometry showing that they are symmetric or simply harmonic special recurrent, in the semi-symmetric case. The non-semi-symmetric case allows essentially two distinct geometries in addition to the 3-symmetric spaces, without a Kahlerian counterpart.
dc.description.peerreviewedSI
dc.description.sponsorshipSupported by projects PID2019-105138GB-C21(AEI/FEDER, Spain), and ED431C 2019/10, ED431F 2020/04 (Xunta de Galicia, Spain).
dc.identifier.citationInternational Journal of Mathematics Vol. 35, No. 2 (2024) 2350106 (36 pages)
dc.identifier.doi10.1142/S0129167X23501069
dc.identifier.urihttps://hdl.handle.net/10347/37591
dc.issue.number2
dc.journal.titleInternational Journal of Mathematics
dc.language.isoeng
dc.publisherWorld Scientific Publishing
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 GEOMETRICAS/
dc.relation.publisherversionhttps://doi.org/10.1142/S0129167X23501069
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsrestricted access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectLie algebra
dc.subjectPara-Kahler structure
dc.subjectSemi-symmetric
dc.subjectRecurrent curvature
dc.subjectSimply harmonic
dc.titleGeometry of four-dimensional Kähler and para-Kähler Lie groups
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number35
dspace.entity.typePublication
relation.isAuthorOfPublicationc23d014b-5c11-405d-af42-f172f0f55eb9
relation.isAuthorOfPublication.latestForDiscoveryc23d014b-5c11-405d-af42-f172f0f55eb9

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