The index of symmetry of compact naturally reductive spaces

Mostrar todas las versiones(2)

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...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Olmos, Carlos Enrique, Reggiani, Silvio Nicolás, Tamaru, Hiroshi
Formato:	article
Lenguaje:	Inglés
Publicado:	2021
Materias:	Index of symmetry Distribution of symmetry Naturally reductive space Symmetric space
Acceso en línea:	http://hdl.handle.net/11086/19594 https://doi.org/10.1007/s00209-013-1268-0
Aporte de:	Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba

id	I10-R141-11086-19594
record_format	dspace
institution	Universidad Nacional de Córdoba
institution_str	I-10
repository_str	R-141
collection	Repositorio Digital Universitario (UNC)
language	Inglés
topic	Index of symmetry Distribution of symmetry Naturally reductive space Symmetric space
spellingShingle	Index of symmetry Distribution of symmetry Naturally reductive space Symmetric space Olmos, Carlos Enrique Reggiani, Silvio Nicolás Tamaru, Hiroshi The index of symmetry of compact naturally reductive spaces
topic_facet	Index of symmetry Distribution of symmetry Naturally reductive space Symmetric space
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.
format	article
author	Olmos, Carlos Enrique Reggiani, Silvio Nicolás Tamaru, Hiroshi
author_facet	Olmos, Carlos Enrique Reggiani, Silvio Nicolás Tamaru, Hiroshi
author_sort	Olmos, Carlos Enrique
title	The index of symmetry of compact naturally reductive spaces
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	index of symmetry of compact naturally reductive spaces
publishDate	2021
url	http://hdl.handle.net/11086/19594 https://doi.org/10.1007/s00209-013-1268-0
work_keys_str_mv	AT olmoscarlosenrique theindexofsymmetryofcompactnaturallyreductivespaces AT reggianisilvionicolas theindexofsymmetryofcompactnaturallyreductivespaces AT tamaruhiroshi theindexofsymmetryofcompactnaturallyreductivespaces AT olmoscarlosenrique indexofsymmetryofcompactnaturallyreductivespaces AT reggianisilvionicolas indexofsymmetryofcompactnaturallyreductivespaces AT tamaruhiroshi indexofsymmetryofcompactnaturallyreductivespaces
bdutipo_str	Repositorios
_version_	1764820391851720704

The index of symmetry of compact naturally reductive spaces

Ejemplares similares