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

被引：1
作者：
Chiumiento, Eduardo [1 ]
机构：
[1] Natl Univ La Plata, Fac Ciencias Exactas, Dto Matemat, RA-1900 La Plata, Argentina
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2008年 / 62卷 / 03期
关键词：
Primary; 58B20; Secondary; 46L10; Finite von Neumann algebra; metric geometry; Finsler metric;
D O I：
10.1007/s00020-008-1629-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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收藏
页码：365 / 382
页数：18
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