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dc.contributor.authorDoubrov, Boris
dc.contributor.authorMerker, Joël
dc.contributor.authorThe, Dennis
dc.date.accessioned2022-04-21T06:35:19Z
dc.date.available2022-04-21T06:35:19Z
dc.date.issued2021-06-24
dc.description.abstractHolomorphically homogeneous Cauchy–Riemann (CR) real hypersurfaces <i>M<i/><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 <i>M<i/><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. arXiv. 2020en_US
dc.identifier.cristinIDFRIDAID 1867461
dc.identifier.doihttps://doi.org/10.1093/imrn/rnab147
dc.identifier.urihttps://hdl.handle.net/10037/24832
dc.language.isoengen_US
dc.publisherOxford University Pressen_US
dc.relation.journalarXiv
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2020 The Author(s)en_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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