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dc.contributor.author
Olmos, Carlos Enrique
dc.contributor.author
Reggiani, Silvio Nicolás
dc.contributor.author
Tamaru, Hiroshi
dc.date.available
2017-12-11T18:58:43Z
dc.date.issued
2014-08
dc.identifier.citation
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
dc.identifier.issn
0025-5874
dc.identifier.uri
http://hdl.handle.net/11336/30184
dc.description.abstract
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
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Index of Symmetry
dc.subject
Distribution of Symmetry
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Naturally Reductive Space
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Symmetric Space
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
The index of symmetry of compact naturally reductive spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-12-11T14:54:22Z
dc.journal.volume
277
dc.journal.number
3-4
dc.journal.pagination
611-628
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
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
dc.description.fil
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
dc.description.fil
Fil: Tamaru, Hiroshi. Hiroshima University; Japón
dc.journal.title
Mathematische Zeitschrift
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00209-013-1268-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00209-013-1268-0
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