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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Autor principal: Chiumiento, Eduardo Hernán
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/130677
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-130677
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
spellingShingle Ciencias Exactas
Matemática
Finite von Neumann algebra
metric geometry
Finsler metric
Chiumiento, Eduardo Hernán
Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
topic_facet 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.
format Articulo
Articulo
author Chiumiento, Eduardo Hernán
author_facet Chiumiento, Eduardo Hernán
author_sort Chiumiento, Eduardo Hernán
title Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
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
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/130677
work_keys_str_mv AT chiumientoeduardohernan localminimalcurvesinhomogeneousreductivespacesoftheunitarygroupofafinitevonneumannalgebra
bdutipo_str Repositorios
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