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dc.contributor.authorIsaev, Alexander
dc.contributor.authorKruglikov, Boris
dc.date.accessioned2018-09-06T11:37:13Z
dc.date.available2018-09-06T11:37:13Z
dc.date.issued2017-11-13
dc.description.abstractWe show that for a real-analytic connected holomorphically nondegenerate 5-dimensional CR-hypersurface <i>M</i> and its symmetry algebra <i>s</i> one has either: (i) dim <i>s</i> = 15 and <i>M</i> is spherical (with Levi form of signature either (2,0), or (1,1), everywhere), or (ii) dim <i>s</i> ≤ 11 where dim <i>s</i> = 11 can only occur if on a dense open subset <i>M</i> is spherical with Levi form of signature (1,1). Furthermore, we construct a series of examples of pairwise nonequivalent CR-hypersurfaces with dim <i>s</i> = 11.en_US
dc.description.sponsorshipThe Australian Research Councilen_US
dc.descriptionAccepted manuscript version. Published version available at <a href=https://doi.org/10.1016/j.aim.2017.10.020> https://doi.org/10.1016/j.aim.2017.10.020</a>. Accepted manuscript version, licensed <a href=http://creativecommons.org/licenses/by-nc-nd/4.0/> CC BY-NC-ND 4.0.</a>en_US
dc.identifier.citationIsaev, A. & Kruglikov, B. (2017). On the symmetry algebras of 5-dimensional CR-manifolds. Advances in Mathematics, 322, 530-564. https://doi.org/10.1016/j.aim.2017.10.020en_US
dc.identifier.cristinIDFRIDAID 1544130
dc.identifier.doi10.1016/j.aim.2017.10.020
dc.identifier.issn0001-8708
dc.identifier.issn1090-2082
dc.identifier.urihttps://hdl.handle.net/10037/13700
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.journalAdvances in Mathematics
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectReal hypersurfaces in complex spaceen_US
dc.subjectLie algebras of infinitesimal CR-automorphismsen_US
dc.subjectGap phenomenonen_US
dc.titleOn the symmetry algebras of 5-dimensional CR-manifoldsen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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