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Reduction of Five-Dimensional Uniformly Levi Degenerate CR Structures to Absolute Parallelisms

Isaev, Alexander; Zaitsev, Dmitri

Description

Let C2,1 be the class of connected 5-dimensional CR-hypersurfaces that are 2-nondegenerate and uniformly Levi degenerate of rank 1. We show that the CR-structures in C2,1 are reducible to so (3,2)-valued absolute parallelisms and give applications of this

dc.contributor.authorIsaev, Alexander
dc.contributor.authorZaitsev, Dmitri
dc.date.accessioned2016-03-21T00:01:46Z
dc.date.available2016-03-21T00:01:46Z
dc.identifier.issn1050-6926
dc.identifier.urihttp://hdl.handle.net/1885/100826
dc.description.abstractLet C2,1 be the class of connected 5-dimensional CR-hypersurfaces that are 2-nondegenerate and uniformly Levi degenerate of rank 1. We show that the CR-structures in C2,1 are reducible to so (3,2)-valued absolute parallelisms and give applications of this
dc.description.sponsorshipA. Isaev was supported by the Australian Research Council. D. Zaitsev was supported in part by Science Foundation Ireland grant 10/RFP/MTH2878.
dc.publisherAmerican Mathematical Society
dc.rights© Mathematica Josephina, Inc. 2013
dc.sourceJournal of Geometric Analysis
dc.subjectReduction of G-structures to absolute parallelisms
dc.subject2-Nondegenerate uniformly Levi degenerate CR-structures
dc.titleReduction of Five-Dimensional Uniformly Levi Degenerate CR Structures to Absolute Parallelisms
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume23
dc.date.issued2013
local.identifier.absfor010111
local.identifier.ariespublicationu9208582xPUB2
local.publisher.urlhttp://link.springer.com/
local.type.statusPublished Version
local.contributor.affiliationIsaev, Alexander, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Department of Mathematics, The Australian National University
local.contributor.affiliationZaitsev, Dmitri, Trinity College Dublin, Ireland
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage1571
local.bibliographicCitation.lastpage1605
local.identifier.doi10.1007/s12220-013-9419-4
local.identifier.absseo970101
dc.date.updated2016-06-14T09:18:56Z
local.identifier.scopusID2-s2.0-84880701625
local.identifier.thomsonID000321911300025
CollectionsANU Research Publications

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