On the index of symmetric spaces

Autores
Olmos, Carlos Enrique; Berndt, Jürgen
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let M be an irreducible Riemannian symmetric space. The indexof M is the minimal codimension of a (non-trivial) totally geodesic submanifoldof M. We prove that the index is bounded from below by the rank ofthe symmetric space. We also classify the irreducible Riemannian symmetricspaces whose index is less or equal than 3.
Fil: Olmos, Carlos Enrique. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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: Berndt, Jürgen. King's College London; Reino Unido
Materia
INDEX OF SYMMETRIC SPACES
TOTALLY GEODESIC SUBMANIFOLDS
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:11336/89295
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the index of symmetric spacesOlmos, Carlos EnriqueBerndt, JürgenINDEX OF SYMMETRIC SPACESTOTALLY GEODESIC SUBMANIFOLDShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let M be an irreducible Riemannian symmetric space. The indexof M is the minimal codimension of a (non-trivial) totally geodesic submanifoldof M. We prove that the index is bounded from below by the rank ofthe symmetric space. We also classify the irreducible Riemannian symmetricspaces whose index is less or equal than 3.Fil: Olmos, Carlos Enrique. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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: Berndt, Jürgen. King's College London; Reino UnidoDe Gruyter2018-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89295Olmos, Carlos Enrique; Berndt, Jürgen; On the index of symmetric spaces; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 737; 4-2018; 33-480075-41020075-4102CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1515/crelle-2015-0060info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/crelle.2018.2018.issue-737/crelle-2015-0060/crelle-2015-0060.xmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:08:26Zoai:ri.conicet.gov.ar:11336/89295instacron: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:34982025-10-22 12:08:26.522CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the index of symmetric spaces
title On the index of symmetric spaces
spellingShingle On the index of symmetric spaces
Olmos, Carlos Enrique
INDEX OF SYMMETRIC SPACES
TOTALLY GEODESIC SUBMANIFOLDS
title_short On the index of symmetric spaces
title_full On the index of symmetric spaces
title_fullStr On the index of symmetric spaces
title_full_unstemmed On the index of symmetric spaces
title_sort On the index of symmetric spaces
dc.creator.none.fl_str_mv Olmos, Carlos Enrique
Berndt, Jürgen
author Olmos, Carlos Enrique
author_facet Olmos, Carlos Enrique
Berndt, Jürgen
author_role author
author2 Berndt, Jürgen
author2_role author
dc.subject.none.fl_str_mv INDEX OF SYMMETRIC SPACES
TOTALLY GEODESIC SUBMANIFOLDS
topic INDEX OF SYMMETRIC SPACES
TOTALLY GEODESIC SUBMANIFOLDS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let M be an irreducible Riemannian symmetric space. The indexof M is the minimal codimension of a (non-trivial) totally geodesic submanifoldof M. We prove that the index is bounded from below by the rank ofthe symmetric space. We also classify the irreducible Riemannian symmetricspaces whose index is less or equal than 3.
Fil: Olmos, Carlos Enrique. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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: Berndt, Jürgen. King's College London; Reino Unido
description Let M be an irreducible Riemannian symmetric space. The indexof M is the minimal codimension of a (non-trivial) totally geodesic submanifoldof M. We prove that the index is bounded from below by the rank ofthe symmetric space. We also classify the irreducible Riemannian symmetricspaces whose index is less or equal than 3.
publishDate 2018
dc.date.none.fl_str_mv 2018-04
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/11336/89295
Olmos, Carlos Enrique; Berndt, Jürgen; On the index of symmetric spaces; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 737; 4-2018; 33-48
0075-4102
0075-4102
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89295
identifier_str_mv Olmos, Carlos Enrique; Berndt, Jürgen; On the index of symmetric spaces; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 737; 4-2018; 33-48
0075-4102
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1515/crelle-2015-0060
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/crelle.2018.2018.issue-737/crelle-2015-0060/crelle-2015-0060.xml
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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 13.229304

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