Non Standard Metric Products

Abstract

We consider a fairly general class of natural non standard metric products and classify those amongst them, which yield a product of certain type (for instance an inner metric space) for all possible choices of factors of this type (inner metric spaces). We further prove the additivity of the Minkowski rank for a large class of metric products.

13 pages, This paper extends the results of the second part of arXiv math.MG/0102107. Note that the first part of arXiv math.MG/0102107 has been published in Adv. Geom. 2 (2002), 123-131