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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/89295
Ver los metadatos del registro completo
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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 Técnicas2025-10-15T15:33:41Zoai: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:34982025-10-15 15:33:41.965CONICET 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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13.22299 |