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dc.contributor.authorDoubrov, Boris
dc.contributor.authorMerker, Joël
dc.contributor.authorThe, Dennis
dc.date.accessioned2021-08-11T11:53:56Z
dc.date.available2021-08-11T11:53:56Z
dc.date.issued2021-06-24
dc.description.abstractHolomorphically homogeneous Cauchy–Riemann (CR) real hypersurfaces M<sup>3</sup>⊂C<sup>2</sup> were classified by Élie Cartan in 1932. In the next dimension, we complete the classification of simply-transitive Levi non-degenerate hypersurfaces M<sup>5</sup>⊂C<sup>3</sup> using a novel Lie algebraic approach independent of any earlier classifications of abstract Lie algebras. Central to our approach is a new coordinate-free formula for the fundamental (complexified) quartic tensor. Our final result has a unique (Levi-indefinite) non-tubular model, for which we demonstrate geometric relations to planar equi-affine geometry.en_US
dc.identifier.citationDoubrov, Merker, The. Classification of Simply-Transitive Levi Non-Degenerate Hypersurfaces in C^3. International mathematics research notices. 2021
dc.identifier.cristinIDFRIDAID 1921287
dc.identifier.doi10.1093/imrn/rnab147
dc.identifier.issn1073-7928
dc.identifier.issn1687-0247
dc.identifier.urihttps://hdl.handle.net/10037/21994
dc.language.isoengen_US
dc.publisherOxford University Pressen_US
dc.relation.journalInternational mathematics research notices
dc.rights.holderCopyright 2021 The Author(s)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleClassification of Simply-Transitive Levi Non-Degenerate Hypersurfaces in C^3en_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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