The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds

We study the relationship between the signature of a semisimple Lie group and a pseudoRiemannian manifold on wich the group acts topologically transitively and isometrically. We also provide a description of the bi-invariant pseudo-Riemannian metrics on a semisimple Lie Group over R in terms of the...

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Autor principal:	Rosales-Ortega,José
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2012
Materias:	semisimple Lie groups bi-invariant metric local freeness
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100006
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spelling	oai:scielo:S0716-091720120001000062012-04-13The signature in actions of semisimple Lie groups on pseudo-Riemannian manifoldsRosales-Ortega,José semisimple Lie groups bi-invariant metric local freeness We study the relationship between the signature of a semisimple Lie group and a pseudoRiemannian manifold on wich the group acts topologically transitively and isometrically. We also provide a description of the bi-invariant pseudo-Riemannian metrics on a semisimple Lie Group over R in terms of the complexification of the Lie algebra associated to the group, and then we utilize it to prove a remark of Gromov.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.1 20122012-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100006en10.4067/S0716-09172012000100006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	semisimple Lie groups bi-invariant metric local freeness
spellingShingle	semisimple Lie groups bi-invariant metric local freeness Rosales-Ortega,José The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
description	We study the relationship between the signature of a semisimple Lie group and a pseudoRiemannian manifold on wich the group acts topologically transitively and isometrically. We also provide a description of the bi-invariant pseudo-Riemannian metrics on a semisimple Lie Group over R in terms of the complexification of the Lie algebra associated to the group, and then we utilize it to prove a remark of Gromov.
author	Rosales-Ortega,José
author_facet	Rosales-Ortega,José
author_sort	Rosales-Ortega,José
title	The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
title_short	The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
title_full	The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
title_fullStr	The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
title_full_unstemmed	The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
title_sort	signature in actions of semisimple lie groups on pseudo-riemannian manifolds
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100006
work_keys_str_mv	AT rosalesortegajose thesignatureinactionsofsemisimpleliegroupsonpseudoriemannianmanifolds AT rosalesortegajose signatureinactionsofsemisimpleliegroupsonpseudoriemannianmanifolds
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The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds

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