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29 March 2024
 
  » arxiv » math.MG/0102107

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Minkowski- versus Euclidean rank for products of metric spaces
Thomas Foertsch ; Viktor Schroeder ;
Date 14 Feb 2001
Subject Metric Geometry | math.MG
AffiliationUniversity Zurich), Viktor Schroeder (University Zurich
AbstractWe 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.
Source arXiv, math.MG/0102107
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