Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold

Autores
Henry, Guillermo Sebastian; Keilhauer, Guillermo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
Fil: Henry, Guillermo Sebastian.
Fil: Guillermo Keilhauer.
Materia
Natural Tensor Fields
Tangent Bundle
Riemannian Manifolds
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:11336/96380
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/96380
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifoldHenry, Guillermo SebastianKeilhauer, GuillermoNatural Tensor FieldsTangent BundleRiemannian Manifoldshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.Fil: Henry, Guillermo Sebastian.Fil: Guillermo Keilhauer.Publication Committee for the Tokyo Journal of Mathematics2012-01info: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/11336/96380Henry, Guillermo Sebastian; Keilhauer, Guillermo; Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold; Publication Committee for the Tokyo Journal of Mathematics; Tokyo Journal Of Mathematics; 35; 1; 1-2012; 1-150387-3870CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.tjm/1342701340info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:08:52Zoai:ri.conicet.gov.ar:11336/96380instacron: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:34982025-09-03 10:08:52.478CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
title Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
spellingShingle Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
Henry, Guillermo Sebastian
Natural Tensor Fields
Tangent Bundle
Riemannian Manifolds
title_short Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
title_full Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
title_fullStr Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
title_full_unstemmed Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
title_sort Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
dc.creator.none.fl_str_mv Henry, Guillermo Sebastian
Keilhauer, Guillermo
author Henry, Guillermo Sebastian
author_facet Henry, Guillermo Sebastian
Keilhauer, Guillermo
author_role author
author2 Keilhauer, Guillermo
author2_role author
dc.subject.none.fl_str_mv Natural Tensor Fields
Tangent Bundle
Riemannian Manifolds
topic Natural Tensor Fields
Tangent Bundle
Riemannian Manifolds
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
Fil: Henry, Guillermo Sebastian.
Fil: Guillermo Keilhauer.
description We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
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/11336/96380
Henry, Guillermo Sebastian; Keilhauer, Guillermo; Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold; Publication Committee for the Tokyo Journal of Mathematics; Tokyo Journal Of Mathematics; 35; 1; 1-2012; 1-15
0387-3870
CONICET Digital
CONICET
url http://hdl.handle.net/11336/96380
identifier_str_mv Henry, Guillermo Sebastian; Keilhauer, Guillermo; Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold; Publication Committee for the Tokyo Journal of Mathematics; Tokyo Journal Of Mathematics; 35; 1; 1-2012; 1-15
0387-3870
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.tjm/1342701340
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 Publication Committee for the Tokyo Journal of Mathematics
publisher.none.fl_str_mv Publication Committee for the Tokyo Journal of Mathematics
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 13.13397

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