13 citations · 34 across the 8 of their papers we have counts for
4 papers · 1 filter
Affine functions on CAT(kappa) spaces
Alexander Lytschak, Viktor Schroeder
We study CAT(kappa) spaces X admitting affine functions. We show that there exists a canonical isometric embedding X -> Y x H where H is a Hilbert space, such that every affine fun…
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…