Minkowski- versus Euclidean rank for products of metric spaces

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dc.creatorFoertsch, Thomas
dc.creatorSchroeder, Viktor
dc.date2001-02-14
dc.date.accessioned2026-07-07T04:40:09Z
dc.date.available2026-07-07T04:40:09Z
dc.descriptionWe introduce a notion of the Euclidean- and the Minkowski rank for arbitrary metric spaces and we study their behaviour with respect to products. We show that the Minkowski rank is additive with respect to metric products, while additivity of the Euclidean rank only holds under additional assumptions, e.g. for Riemannian manifolds. We also study products with nonstandard product metrics.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0102107
dc.identifierhttp://arxiv.org/abs/math/0102107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60939
dc.subjectMetric Geometry
dc.titleMinkowski- versus Euclidean rank for products of metric spaces
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