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dc.contributor.authorKruglikov, Boris
dc.contributor.authorWinther, Henrik
dc.date.accessioned2018-06-25T12:22:36Z
dc.date.available2018-06-25T12:22:36Z
dc.date.issued2017-05-20
dc.description.abstractFor an almost product structure J on a manifold M of dimension 6 with non-degenerate Nijenhuis tensor N J, we show that the automorphism group G=Aut(M,J) has dimension at most 14. In the case of equality G is the exceptional Lie group G∗2. The next possible symmetry dimension is proved to be equal to 10, and G has Lie algebra sp(4,R). Both maximal and submaximal symmetric structures are globally homogeneous and strictly nearly para-Kähler. We also demonstrate that whenever the symmetry dimension is at least 9, then the automorphism algebra acts locally transitively.en_US
dc.description.sponsorshipDAAD project of Germanyen_US
dc.descriptionAccepted manuscript version. Published version available in <a href=http://doi.org/10.1007/s10455-017-9561-5> Annals of Global Analysis and Geometry (2017) 52, p. 341-362. </a>en_US
dc.identifier.citationKruglikov, B.S. & Winther, H. (2017). Non-degenerate para-complex structures in 6D with large symmetry groups. Annals of Global Analysis and Geometry. 52(3), 341-362.en_US
dc.identifier.cristinIDFRIDAID 1495571
dc.identifier.doi10.1007/s10455-017-9561-5
dc.identifier.issn0232-704X
dc.identifier.issn1572-9060
dc.identifier.urihttps://hdl.handle.net/10037/12993
dc.language.isoengen_US
dc.publisherSpringer Verlagen_US
dc.relation.journalAnnals of Global Analysis and Geometry
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectAlmost product structureen_US
dc.subjectNon-degenerateen_US
dc.subjectNijenhuis tensoren_US
dc.subjectAutomorphism groupen_US
dc.subjectSymmetry dimensionen_US
dc.subjectSubmaximal symmetric structureen_US
dc.subjectStrictly nearly para-Kähler structureen_US
dc.subjectGlobally homogeneous spaceen_US
dc.titleNon-degenerate para-complex structures in 6D with large symmetry groupsen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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