The relative nullity of complex submanifolds and the gauss map

Autores
Di Scala, Antonio J.; Olmos, Carlos Enrique
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a short and geometric proof, based on Jacobi fields, of a theorem of K. Abe that asserts that the relative index of nullity is trivial for complete non-totally geodesic complex projective submanifolds. Using this idea we prove a splitting theorem for complex Euclidean submanifolds with a non-trivial relative index of nullity.
Fil: Di Scala, Antonio J.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Olmos, Carlos Enrique. Politecnico di Torino; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Gauss Map
Jacobi Vector Fields
Relative Nullity Index
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/58444
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The relative nullity of complex submanifolds and the gauss mapDi Scala, Antonio J.Olmos, Carlos EnriqueGauss MapJacobi Vector FieldsRelative Nullity Indexhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a short and geometric proof, based on Jacobi fields, of a theorem of K. Abe that asserts that the relative index of nullity is trivial for complete non-totally geodesic complex projective submanifolds. Using this idea we prove a splitting theorem for complex Euclidean submanifolds with a non-trivial relative index of nullity.Fil: Di Scala, Antonio J.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Olmos, Carlos Enrique. Politecnico di Torino; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Mathematical Society2016-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/58444Di Scala, Antonio J.; Olmos, Carlos Enrique; The relative nullity of complex submanifolds and the gauss map; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1689-16950002-9939CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2016-144-04/S0002-9939-2015-12987-5/home.htmlinfo:eu-repo/semantics/altIdentifier/doi/10.1090/proc/12987info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:09:00Zoai:ri.conicet.gov.ar:11336/58444instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-29 12:09:00.983CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The relative nullity of complex submanifolds and the gauss map
title The relative nullity of complex submanifolds and the gauss map
spellingShingle The relative nullity of complex submanifolds and the gauss map
Di Scala, Antonio J.
Gauss Map
Jacobi Vector Fields
Relative Nullity Index
title_short The relative nullity of complex submanifolds and the gauss map
title_full The relative nullity of complex submanifolds and the gauss map
title_fullStr The relative nullity of complex submanifolds and the gauss map
title_full_unstemmed The relative nullity of complex submanifolds and the gauss map
title_sort The relative nullity of complex submanifolds and the gauss map
dc.creator.none.fl_str_mv Di Scala, Antonio J.
Olmos, Carlos Enrique
author Di Scala, Antonio J.
author_facet Di Scala, Antonio J.
Olmos, Carlos Enrique
author_role author
author2 Olmos, Carlos Enrique
author2_role author
dc.subject.none.fl_str_mv Gauss Map
Jacobi Vector Fields
Relative Nullity Index
topic Gauss Map
Jacobi Vector Fields
Relative Nullity Index
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We give a short and geometric proof, based on Jacobi fields, of a theorem of K. Abe that asserts that the relative index of nullity is trivial for complete non-totally geodesic complex projective submanifolds. Using this idea we prove a splitting theorem for complex Euclidean submanifolds with a non-trivial relative index of nullity.
Fil: Di Scala, Antonio J.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Olmos, Carlos Enrique. Politecnico di Torino; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We give a short and geometric proof, based on Jacobi fields, of a theorem of K. Abe that asserts that the relative index of nullity is trivial for complete non-totally geodesic complex projective submanifolds. Using this idea we prove a splitting theorem for complex Euclidean submanifolds with a non-trivial relative index of nullity.
publishDate 2016
dc.date.none.fl_str_mv 2016-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/58444
Di Scala, Antonio J.; Olmos, Carlos Enrique; The relative nullity of complex submanifolds and the gauss map; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1689-1695
0002-9939
CONICET Digital
CONICET
url http://hdl.handle.net/11336/58444
identifier_str_mv Di Scala, Antonio J.; Olmos, Carlos Enrique; The relative nullity of complex submanifolds and the gauss map; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1689-1695
0002-9939
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2016-144-04/S0002-9939-2015-12987-5/home.html
info:eu-repo/semantics/altIdentifier/doi/10.1090/proc/12987
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.10058

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