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dc.contributor.author
Olmos, Carlos Enrique  
dc.contributor.author
Reggiani, Silvio Nicolás  
dc.date.available
2017-01-09T19:24:07Z  
dc.date.issued
2013-12  
dc.identifier.citation
Olmos, Carlos Enrique; Reggiani, Silvio Nicolás; A note on the uniqueness of the canonical connection of a naturally reductive space; Springer Wien; Monatshefete Fur Mathematik; 172; 12-2013; 379-386  
dc.identifier.issn
0026-9255  
dc.identifier.uri
http://hdl.handle.net/11336/10985  
dc.description.abstract
We extend the result in J. Reine Angew. Math. 664, 29-53, to the non-compact case. Namely, we prove that the canonical connection on a simply connected and irreducible naturally reductive space is unique, provided the space is not a sphere, a compact Lie group with a bi-invariant metric or its symmetric dual. In particular, the canonical connection is unique for the hyperbolic space when the dimension is different from three. We also prove that the canonical connection on the sphere is unique for the symmetric presentation. Finally, we compute the full isometry group (connected component) of a compact and locally irreducible naturally reductive space. DOI 10.1007/s00605-013-0554-6  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer Wien  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Canonical Connection  
dc.subject
Reductive Space  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A note on the uniqueness of the canonical connection of a naturally reductive space  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2016-11-25T14:00:44Z  
dc.journal.volume
172  
dc.journal.pagination
379-386  
dc.journal.pais
Austria  
dc.journal.ciudad
Viena  
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 Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); 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 Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina  
dc.journal.title
Monatshefete Fur Mathematik  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00605-013-0554-6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs00605-013-0554-6  

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