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dc.creatorVittone, Francisco-
dc.creatorDi Scala, Antonio J.-
dc.date2018-08-09T19:55:50Z-
dc.date2018-08-09T19:55:50Z-
dc.date2017-01-
dc.date2018-07-26T13:57:40Z-
dc.date.accessioned2019-04-29T15:47:00Z-
dc.date.available2019-04-29T15:47:00Z-
dc.date.issued2018-08-09T19:55:50Z-
dc.date.issued2018-08-09T19:55:50Z-
dc.date.issued2017-01-
dc.date.issued2018-07-26T13:57:40Z-
dc.identifierVittone, Francisco; Di Scala, Antonio J.; Normal Holonomy of CR-submanifolds; Osaka University. Departments of Mathematics; Osaka Journal of Mathematics; 54; 1; 1-2017; 17-35-
dc.identifier0030-6126-
dc.identifierhttp://hdl.handle.net/11336/54857-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/301872-
dc.descriptionWe study the normal holonomy group, i.e. the holonomy group of the normal connection, of a CR-submanifold of a complex space form. We show that the normal holonomy group of a coisotropic submanifold acts as the holonomy representation of a Riemannian symmetric space. In case of a totally real submanifold we give two results about reduction of codimension. We describe explicitly the action of the normal holonomy in the case in which the totally real submanifold is contained in a totally real totally geodesic submanifold. In such a case we prove the compactness of the normal holonomy group.-
dc.descriptionFil: Vittone, Francisco. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina-
dc.descriptionFil: Di Scala, Antonio J.. Politecnico di Torino; Italia-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherOsaka University. Departments of Mathematics-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1311.5778-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.ojm/1488531782-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.math.sci.osaka-u.ac.jp/ojm/contents.html#54-1-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectNORMAL HOLONOMY-
dc.subjectCR-SUBMANIFOLDS-
dc.subjectNORMAL CONNECTION-
dc.subjectS-REPRESENTATION-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleNormal Holonomy of CR-submanifolds-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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