Minkowski- versus Euclidean rank for products of metric spaces

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We 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.
20 pages, 1 figure

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Metric Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/60939

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102107
 http://arxiv.org/abs/math/0102107

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arXiv