7 citations · 7 across the 6 of their papers we have counts for
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Hilbert metrics and Minkowski norms
Thomas Foertsch, Anders Karlsson
It is shown that the Hilbert geometry associated to a bounded convex domain is isometric to a normed vector space if and only if…
Isometries of spaces of convex compact subsets of CAT(0)-spaces
Thomas Foertsch
In the present paper we characterize the surjective isometries of the space of compact, convex subsets of proper, geodesically complete CAT(0)-spaces in which geodesics do not spli…
Products of hyperbolic metric spaces II
Thomas Foertsch, Viktor Schroeder
In arXiv math.MG/0207296 we introduced a product construction for locally compact, complete, geodesic hyperbolic metric spaces. In the present paper we define the hyperbolic produc…
Non Standard Metric Products
Andreas Bernig, Thomas Foertsch, Viktor Schroeder
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 spac…
Products of hyperbolic metric spaces
Thomas Foertsch, Viktor Schroeder
Let (X_i,d_i), i=1,2, be proper geodesic hyperbolic metric spaces. We give a general construction for a ``hyperbolic product'' X_1{times}_h X_2 which is itself a proper geodesic hy…
Minkowski- versus Euclidean rank for products of metric spaces
Thomas Foertsch, Viktor Schroeder
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…