13 citations · 34 across the 8 of their papers we have counts for
9 papers
A product of trees as universal space for hyperbolic groups
Sergei Buyalo, Viktor Schroeder
We show that every Gromov hyperbolic group $\Ga$ admits a quasi-isometric embedding into the product of binary trees, where $n=\dim\di\Ga$ is the topological dimension of t…
Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
Alexander Dranishnikov, Viktor Schroeder
We prove that a finitely generated, right-angled, hyperbolic Coxeter group can be quasiisometrically embedded into the product of n binary trees, where n is the chromatic number of…
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…
Embedding of Coxeter groups in a product of trees
Alexander Dranishnikov, Viktor Schroeder
We prove that a right angled Coxeter group with chromatic number n can be embedded in a bilipschitz way into the product of n locally finite trees. We give applications of this res…
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…
Hyperbolic Rank of Products
Thomas Foertsch, Viktor Schroeder
Generalizing results due to Brady and Farb we prove the existence of a bilipschitz embedded manifold of pinched negative curvature and dimension m_1+m_2-1 in the product X:=X_1^{m_…