The index of symmetry of compact naturally reductive spaces
- Autores
- Olmos, Carlos Enrique; Reggiani, Silvio Nicolás; Tamaru, Hiroshi
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally reductive spaces. In this case, the so-called leaf of symmetry turns out to be of the group type. We also study several examples where the leaf of symmetry is not of the group type. Interesting examples arise from the unit tangent bundle of the sphere of curvature 2, and two metrics in an Aloff-Wallach 7-manifold and the Wallach 24-manifold
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; Argentina
Fil: Reggiani, Silvio Nicolás. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Tamaru, Hiroshi. Hiroshima University; Japón - Materia
-
Index of Symmetry
Distribution of Symmetry
Naturally Reductive Space
Symmetric Space - 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:11336/30184
Ver los metadatos del registro completo
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The index of symmetry of compact naturally reductive spacesOlmos, Carlos EnriqueReggiani, Silvio NicolásTamaru, HiroshiIndex of SymmetryDistribution of SymmetryNaturally Reductive SpaceSymmetric Spacehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally reductive spaces. In this case, the so-called leaf of symmetry turns out to be of the group type. We also study several examples where the leaf of symmetry is not of the group type. Interesting examples arise from the unit tangent bundle of the sphere of curvature 2, and two metrics in an Aloff-Wallach 7-manifold and the Wallach 24-manifoldFil: 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; ArgentinaFil: Reggiani, Silvio Nicolás. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Tamaru, Hiroshi. Hiroshima University; JapónSpringer2014-08info: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/11336/30184Olmos, Carlos Enrique; Reggiani, Silvio Nicolás; Tamaru, Hiroshi; The index of symmetry of compact naturally reductive spaces; Springer; Mathematische Zeitschrift; 277; 3-4; 8-2014; 611-6280025-5874CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00209-013-1268-0info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00209-013-1268-0info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:26:00Zoai:ri.conicet.gov.ar:11336/30184instacron: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:34982025-09-29 10:26:00.444CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
The index of symmetry of compact naturally reductive spaces |
title |
The index of symmetry of compact naturally reductive spaces |
spellingShingle |
The index of symmetry of compact naturally reductive spaces Olmos, Carlos Enrique Index of Symmetry Distribution of Symmetry Naturally Reductive Space Symmetric Space |
title_short |
The index of symmetry of compact naturally reductive spaces |
title_full |
The index of symmetry of compact naturally reductive spaces |
title_fullStr |
The index of symmetry of compact naturally reductive spaces |
title_full_unstemmed |
The index of symmetry of compact naturally reductive spaces |
title_sort |
The index of symmetry of compact naturally reductive spaces |
dc.creator.none.fl_str_mv |
Olmos, Carlos Enrique Reggiani, Silvio Nicolás Tamaru, Hiroshi |
author |
Olmos, Carlos Enrique |
author_facet |
Olmos, Carlos Enrique Reggiani, Silvio Nicolás Tamaru, Hiroshi |
author_role |
author |
author2 |
Reggiani, Silvio Nicolás Tamaru, Hiroshi |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Index of Symmetry Distribution of Symmetry Naturally Reductive Space Symmetric Space |
topic |
Index of Symmetry Distribution of Symmetry Naturally Reductive Space Symmetric Space |
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 introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally reductive spaces. In this case, the so-called leaf of symmetry turns out to be of the group type. We also study several examples where the leaf of symmetry is not of the group type. Interesting examples arise from the unit tangent bundle of the sphere of curvature 2, and two metrics in an Aloff-Wallach 7-manifold and the Wallach 24-manifold 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; Argentina Fil: Reggiani, Silvio Nicolás. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina Fil: Tamaru, Hiroshi. Hiroshima University; Japón |
description |
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally reductive spaces. In this case, the so-called leaf of symmetry turns out to be of the group type. We also study several examples where the leaf of symmetry is not of the group type. Interesting examples arise from the unit tangent bundle of the sphere of curvature 2, and two metrics in an Aloff-Wallach 7-manifold and the Wallach 24-manifold |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-08 |
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/11336/30184 Olmos, Carlos Enrique; Reggiani, Silvio Nicolás; Tamaru, Hiroshi; The index of symmetry of compact naturally reductive spaces; Springer; Mathematische Zeitschrift; 277; 3-4; 8-2014; 611-628 0025-5874 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/30184 |
identifier_str_mv |
Olmos, Carlos Enrique; Reggiani, Silvio Nicolás; Tamaru, Hiroshi; The index of symmetry of compact naturally reductive spaces; Springer; Mathematische Zeitschrift; 277; 3-4; 8-2014; 611-628 0025-5874 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00209-013-1268-0 info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00209-013-1268-0 |
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 |
Springer |
publisher.none.fl_str_mv |
Springer |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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