Duality, monotonicity and the Wigner-Yanase-Dyson metrics

Simple item page
dc.creatorGrasselli, M. R.
dc.date2002-12-05
dc.date.accessioned2026-07-07T04:29:38Z
dc.date.available2026-07-07T04:29:38Z
dc.descriptionWe show that, for each alpha in the interval (-1,1), the only Riemannian metrics on the space of positive definite matrices for which the alpha and -alpha-connections are mutually dual are matrix multiples fo the Wigner-Yanase-Dyson metric. If we further impose that the metric be monotone, then this set is reduced to scalar multiples of the Wigner-Yanase-Dyson metric.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0212022
dc.identifierhttp://arxiv.org/abs/math-ph/0212022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57231
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject82C10, 53Z05
dc.titleDuality, monotonicity and the Wigner-Yanase-Dyson metrics
dc.typetext

Files

Collections

arXiv