Compact homogeneous Riemannian manifolds with low coindex of symmetry

Autores
Berndt, Jürgen; Olmos, Carlos; Reggiani, Silvio Nicolás
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the coindex of symmetry. We will then use these results to classify irreducible, simply connected, compact homogeneous Riemannian manifolds whose coindex of symmetry is less than or equal to three. We will also construct many examples which arise from the theory of polars and centrioles in Riemannian symmetric spaces of compact type.
Fil: Berndt, Jürgen. King's College London; Reino Unido
Fil: Olmos, Carlos. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Reggiani, Silvio Nicolás. 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
Materia
CENTRIOLES
COMPACT HOMOGENEOUS MANIFOLDS
INDEX OF SYMMETRY
KILLING FIELDS
POLARS
SYMMETRIC SPACES
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:11336/50440
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/50440
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Compact homogeneous Riemannian manifolds with low coindex of symmetryBerndt, JürgenOlmos, CarlosReggiani, Silvio NicolásCENTRIOLESCOMPACT HOMOGENEOUS MANIFOLDSINDEX OF SYMMETRYKILLING FIELDSPOLARSSYMMETRIC SPACEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the coindex of symmetry. We will then use these results to classify irreducible, simply connected, compact homogeneous Riemannian manifolds whose coindex of symmetry is less than or equal to three. We will also construct many examples which arise from the theory of polars and centrioles in Riemannian symmetric spaces of compact type.Fil: Berndt, Jürgen. King's College London; Reino UnidoFil: Olmos, Carlos. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Reggiani, Silvio Nicolás. 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; ArgentinaEuropean Mathematical Society2017-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50440Berndt, Jürgen; Olmos, Carlos; Reggiani, Silvio Nicolás; Compact homogeneous Riemannian manifolds with low coindex of symmetry; European Mathematical Society; Journal of the European Mathematical Society; 19; 1; 1-2017; 221-2541435-9855CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4171/JEMS/664info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1312.6097info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=19&iss=1&rank=5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:23:10Zoai:ri.conicet.gov.ar:11336/50440instacron: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 14:23:10.545CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Compact homogeneous Riemannian manifolds with low coindex of symmetry
title Compact homogeneous Riemannian manifolds with low coindex of symmetry
spellingShingle Compact homogeneous Riemannian manifolds with low coindex of symmetry
Berndt, Jürgen
CENTRIOLES
COMPACT HOMOGENEOUS MANIFOLDS
INDEX OF SYMMETRY
KILLING FIELDS
POLARS
SYMMETRIC SPACES
title_short Compact homogeneous Riemannian manifolds with low coindex of symmetry
title_full Compact homogeneous Riemannian manifolds with low coindex of symmetry
title_fullStr Compact homogeneous Riemannian manifolds with low coindex of symmetry
title_full_unstemmed Compact homogeneous Riemannian manifolds with low coindex of symmetry
title_sort Compact homogeneous Riemannian manifolds with low coindex of symmetry
dc.creator.none.fl_str_mv Berndt, Jürgen
Olmos, Carlos
Reggiani, Silvio Nicolás
author Berndt, Jürgen
author_facet Berndt, Jürgen
Olmos, Carlos
Reggiani, Silvio Nicolás
author_role author
author2 Olmos, Carlos
Reggiani, Silvio Nicolás
author2_role author
author
dc.subject.none.fl_str_mv CENTRIOLES
COMPACT HOMOGENEOUS MANIFOLDS
INDEX OF SYMMETRY
KILLING FIELDS
POLARS
SYMMETRIC SPACES
topic CENTRIOLES
COMPACT HOMOGENEOUS MANIFOLDS
INDEX OF SYMMETRY
KILLING FIELDS
POLARS
SYMMETRIC SPACES
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 develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the coindex of symmetry. We will then use these results to classify irreducible, simply connected, compact homogeneous Riemannian manifolds whose coindex of symmetry is less than or equal to three. We will also construct many examples which arise from the theory of polars and centrioles in Riemannian symmetric spaces of compact type.
Fil: Berndt, Jürgen. King's College London; Reino Unido
Fil: Olmos, Carlos. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Reggiani, Silvio Nicolás. 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
description We develop a general structure theory for compact homogeneous Riemannian manifolds in relation to the coindex of symmetry. We will then use these results to classify irreducible, simply connected, compact homogeneous Riemannian manifolds whose coindex of symmetry is less than or equal to three. We will also construct many examples which arise from the theory of polars and centrioles in Riemannian symmetric spaces of compact type.
publishDate 2017
dc.date.none.fl_str_mv 2017-01
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/11336/50440
Berndt, Jürgen; Olmos, Carlos; Reggiani, Silvio Nicolás; Compact homogeneous Riemannian manifolds with low coindex of symmetry; European Mathematical Society; Journal of the European Mathematical Society; 19; 1; 1-2017; 221-254
1435-9855
CONICET Digital
CONICET
url http://hdl.handle.net/11336/50440
identifier_str_mv Berndt, Jürgen; Olmos, Carlos; Reggiani, Silvio Nicolás; Compact homogeneous Riemannian manifolds with low coindex of symmetry; European Mathematical Society; Journal of the European Mathematical Society; 19; 1; 1-2017; 221-254
1435-9855
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4171/JEMS/664
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1312.6097
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=19&iss=1&rank=5
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
application/pdf
dc.publisher.none.fl_str_mv European Mathematical Society
publisher.none.fl_str_mv European 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
_version_ 1846082637641285632
score 13.22299

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