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Classification of homogeneous CR-manifolds in dimension 4

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dc.contributor.authorBeloshapka, V.K.
dc.contributor.authorKossovskiy, Ilya
dc.date.accessioned2015-12-10T23:16:19Z
dc.date.issued2011
dc.date.updated2016-02-24T08:08:20Z
dc.description.abstractLocally homogeneous CR-manifolds in dimension 3 were classified, up to local CR-equivalence, by E. Cartan. We classify, up to local CR-equivalence, all locally homogeneous CR-manifolds in dimension 4. The classification theorem enables us also to classify all symmetric CR-manifolds in dimension 4, up to local CR-equivalence.
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/1885/65010
dc.publisherAcademic Press
dc.sourceJournal of Mathematical Analysis and Applications
dc.subjectKeywords: Automorphism groups of CR-manifolds; CR-geometry; Homogeneous CR-manifolds; Model manifolds
dc.titleClassification of homogeneous CR-manifolds in dimension 4
dc.typeJournal article
local.bibliographicCitation.issue2
local.bibliographicCitation.lastpage672
local.bibliographicCitation.startpage655
local.contributor.affiliationBeloshapka, V.K., Moscow State University
local.contributor.affiliationKossovskiy, Ilya, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidKossovskiy, Ilya, u4687404
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010111 - Real and Complex Functions (incl. Several Variables)
local.identifier.ariespublicationf2965xPUB1036
local.identifier.citationvolume374
local.identifier.doi10.1016/j.jmaa.2010.07.008
local.identifier.scopusID2-s2.0-77957780532
local.type.statusPublished Version

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