Isometric actions on pseudo-Riemannian nilmanifolds

Autores
del Barco, Viviana Jorgelina; Ovando, Gabriela Paola
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the Riemannian situation; for instance, the action of the nilradical of the isometry group does not need to be transitive. For a nilpotent Lie group endowed with a left-invariant pseudo-Riemannian metric, we study conditions for which the subgroup of isometries fixing the identity element equals the subgroup of isometric automorphisms. This set equality holds for pseudo- HH -type Lie groups
Fil: del Barco, Viviana Jorgelina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Ovando, Gabriela Paola. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Pseudo-Riemannian Nilmanifolds
Nilpotent Lie Groups
Isometry Groups
Bi-Invariant Metrics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/29835
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Isometric actions on pseudo-Riemannian nilmanifoldsdel Barco, Viviana JorgelinaOvando, Gabriela PaolaPseudo-Riemannian NilmanifoldsNilpotent Lie GroupsIsometry GroupsBi-Invariant Metricshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the Riemannian situation; for instance, the action of the nilradical of the isometry group does not need to be transitive. For a nilpotent Lie group endowed with a left-invariant pseudo-Riemannian metric, we study conditions for which the subgroup of isometries fixing the identity element equals the subgroup of isometric automorphisms. This set equality holds for pseudo- HH -type Lie groupsFil: del Barco, Viviana Jorgelina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Ovando, Gabriela Paola. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2014-02info: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/11336/29835del Barco, Viviana Jorgelina; Ovando, Gabriela Paola; Isometric actions on pseudo-Riemannian nilmanifolds; Springer; Annals Of Global Analysis And Geometry; 45; 2; 2-2014; 95-1100232-704XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10455-013-9389-6info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10455-013-9389-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:55:08Zoai:ri.conicet.gov.ar:11336/29835instacron: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 09:55:09.229CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Isometric actions on pseudo-Riemannian nilmanifolds
title Isometric actions on pseudo-Riemannian nilmanifolds
spellingShingle Isometric actions on pseudo-Riemannian nilmanifolds
del Barco, Viviana Jorgelina
Pseudo-Riemannian Nilmanifolds
Nilpotent Lie Groups
Isometry Groups
Bi-Invariant Metrics
title_short Isometric actions on pseudo-Riemannian nilmanifolds
title_full Isometric actions on pseudo-Riemannian nilmanifolds
title_fullStr Isometric actions on pseudo-Riemannian nilmanifolds
title_full_unstemmed Isometric actions on pseudo-Riemannian nilmanifolds
title_sort Isometric actions on pseudo-Riemannian nilmanifolds
dc.creator.none.fl_str_mv del Barco, Viviana Jorgelina
Ovando, Gabriela Paola
author del Barco, Viviana Jorgelina
author_facet del Barco, Viviana Jorgelina
Ovando, Gabriela Paola
author_role author
author2 Ovando, Gabriela Paola
author2_role author
dc.subject.none.fl_str_mv Pseudo-Riemannian Nilmanifolds
Nilpotent Lie Groups
Isometry Groups
Bi-Invariant Metrics
topic Pseudo-Riemannian Nilmanifolds
Nilpotent Lie Groups
Isometry Groups
Bi-Invariant Metrics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the Riemannian situation; for instance, the action of the nilradical of the isometry group does not need to be transitive. For a nilpotent Lie group endowed with a left-invariant pseudo-Riemannian metric, we study conditions for which the subgroup of isometries fixing the identity element equals the subgroup of isometric automorphisms. This set equality holds for pseudo- HH -type Lie groups
Fil: del Barco, Viviana Jorgelina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Ovando, Gabriela Paola. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the Riemannian situation; for instance, the action of the nilradical of the isometry group does not need to be transitive. For a nilpotent Lie group endowed with a left-invariant pseudo-Riemannian metric, we study conditions for which the subgroup of isometries fixing the identity element equals the subgroup of isometric automorphisms. This set equality holds for pseudo- HH -type Lie groups
publishDate 2014
dc.date.none.fl_str_mv 2014-02
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/11336/29835
del Barco, Viviana Jorgelina; Ovando, Gabriela Paola; Isometric actions on pseudo-Riemannian nilmanifolds; Springer; Annals Of Global Analysis And Geometry; 45; 2; 2-2014; 95-110
0232-704X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/29835
identifier_str_mv del Barco, Viviana Jorgelina; Ovando, Gabriela Paola; Isometric actions on pseudo-Riemannian nilmanifolds; Springer; Annals Of Global Analysis And Geometry; 45; 2; 2-2014; 95-110
0232-704X
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/s10455-013-9389-6
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10455-013-9389-6
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
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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