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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/4281
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dc.contributor.authorBeloshapka, V Ken
dc.contributor.authorEzhov, Ven
dc.contributor.authorSchmalz, Gerden
dc.date.accessioned2010-01-25T16:44:00Z-
dc.date.issued2006-
dc.identifier.citationProceedings of the Steklov Institute of Mathematics, 253(1), p. 1-7en
dc.identifier.issn1531-8605en
dc.identifier.issn0081-5438en
dc.identifier.urihttps://hdl.handle.net/1959.11/4281-
dc.description.abstractWe study real analytic CR manifolds of CR dimension 1 and codimension 2 in the three-dimensional complex space. We prove that the germ of a holomorphic mapping between 'nonspherical' manifolds can be extended along any path (this is an analog of Vitushkin's germ theorem). For a cubic model surface ('sphere'), we prove an analog of the Poincaré theorem on the mappings of spheres into ℂ². We construct an example of a compact 'spherical' submanifold in a compact complex 3-space such that the germ of a mapping of the 'sphere' into this submanifold cannot be extended to a certain point of the 'sphere'.en
dc.languageenen
dc.publisherMAIK Nauka - Interperiodicaen
dc.relation.ispartofProceedings of the Steklov Institute of Mathematicsen
dc.titleVitushkin's Germ Theorem for Engel-Type CR Manifoldsen
dc.typeJournal Articleen
dc.identifier.doi10.1134/S0081543806020015en
dc.subject.keywordsReal and Complex Functions (incl Several Variables)en
local.contributor.firstnameV Ken
local.contributor.firstnameVen
local.contributor.firstnameGerden
local.subject.for2008010111 Real and Complex Functions (incl Several Variables)en
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailschmalz@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordpes:3370en
local.publisher.placeRussiaen
local.format.startpage1en
local.format.endpage7en
local.identifier.scopusid33748328042en
local.peerreviewedYesen
local.identifier.volume253en
local.identifier.issue1en
local.contributor.lastnameBeloshapkaen
local.contributor.lastnameEzhoven
local.contributor.lastnameSchmalzen
dc.identifier.staffune-id:schmalzen
local.profile.orcid0000-0002-6141-9329en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:4383en
dc.identifier.academiclevelAcademicen
local.title.maintitleVitushkin's Germ Theorem for Engel-Type CR Manifoldsen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorBeloshapka, V Ken
local.search.authorEzhov, Ven
local.search.authorSchmalz, Gerden
local.uneassociationUnknownen
local.year.published2006en
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