Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra

We study the metric geometry of homogeneous reductive spaces of the unitary group of a finite von Neumann algebra with a non complete Riemannian metric. The main result gives an abstract sufficient condition in order that the geodesics of the Levi-Civita connection are locally minimal. Then, we show...

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Detalles Bibliográficos
Autor: Chiumiento, Eduardo Hernán
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/130677
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/130677
Access Level:acceso abierto
Palabra clave:Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
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spelling Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann AlgebraChiumiento, Eduardo HernánCiencias ExactasMatemáticaFinite von Neumann algebrametric geometryFinsler metricWe study the metric geometry of homogeneous reductive spaces of the unitary group of a finite von Neumann algebra with a non complete Riemannian metric. The main result gives an abstract sufficient condition in order that the geodesics of the Levi-Civita connection are locally minimal. Then, we show how this result applies to several examples.Facultad de Ciencias Exactas2008-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf365-382http://sedici.unlp.edu.ar/handle/10915/130677enginfo:eu-repo/semantics/altIdentifier/issn/0378-620Xinfo:eu-repo/semantics/altIdentifier/issn/1420-8989info:eu-repo/semantics/altIdentifier/doi/10.1007/s00020-008-1629-yinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2024-05-08T13:11:04Zoai:sedici.unlp.edu.ar:10915/130677Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:11:04.331SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
title Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
spellingShingle Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
Chiumiento, Eduardo Hernán
Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
title_short Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
title_full Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
title_fullStr Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
title_full_unstemmed Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
title_sort Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
dc.creator.none.fl_str_mv Chiumiento, Eduardo Hernán
author Chiumiento, Eduardo Hernán
author_facet Chiumiento, Eduardo Hernán
author_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
topic Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
description We study the metric geometry of homogeneous reductive spaces of the unitary group of a finite von Neumann algebra with a non complete Riemannian metric. The main result gives an abstract sufficient condition in order that the geodesics of the Levi-Civita connection are locally minimal. Then, we show how this result applies to several examples.
publishDate 2008
dc.date.none.fl_str_mv 2008-11
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/130677
url http://sedici.unlp.edu.ar/handle/10915/130677
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-620X
info:eu-repo/semantics/altIdentifier/issn/1420-8989
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00020-008-1629-y
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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365-382
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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