INVESTIGADORES
CHIUMIENTO Eduardo Hernan
artículos
Título:
Local minimal curves in homogeneous reductive spaces of the unitary group of a finite von Neumann algebra
Autor/es:
E. CHIUMIENTO
Revista:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Referencias:
Año: 2008 vol. 62 p. 365 - 382
ISSN:
0378-620X
Resumen:
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.