dc.contributor.author | Isaev, Alexander | |
dc.contributor.author | Kruglikov, Boris | |
dc.date.accessioned | 2018-09-06T11:37:13Z | |
dc.date.available | 2018-09-06T11:37:13Z | |
dc.date.issued | 2017-11-13 | |
dc.description.abstract | We 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.sponsorship | The Australian Research Council | en_US |
dc.description | Accepted 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.citation | Isaev, 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.2017.10.020 | en_US |
dc.identifier.cristinID | FRIDAID 1544130 | |
dc.identifier.doi | 10.1016/j.aim.2017.10.020 | |
dc.identifier.issn | 0001-8708 | |
dc.identifier.issn | 1090-2082 | |
dc.identifier.uri | https://hdl.handle.net/10037/13700 | |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.journal | Advances in Mathematics | |
dc.rights.accessRights | openAccess | en_US |
dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
dc.subject | VDP::Mathematics and natural science: 400::Mathematics: 410 | en_US |
dc.subject | Real hypersurfaces in complex space | en_US |
dc.subject | Lie algebras of infinitesimal CR-automorphisms | en_US |
dc.subject | Gap phenomenon | en_US |
dc.title | On the symmetry algebras of 5-dimensional CR-manifolds | en_US |
dc.type | Journal article | en_US |
dc.type | Tidsskriftartikkel | en_US |
dc.type | Peer reviewed | en_US |