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4 papers · 1 filter
Group actions on geodesic Ptolemy spaces
Thomas Foertsch, Viktor Schroeder
In this paper we study geodesic Ptolemy metric spaces which allow proper and cocompact isometric actions of crystallographic or, more generally, virtual polycyclic groups. We s…
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…