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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Guardado en:
Detalles Bibliográficos
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
Descripción
Sumario: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.

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