most citedA product of trees as universal space for hyperbolic groups

6 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2005★ 6 cited

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…

math-ph2003

Metrics of nonpositive curvature on graph-manifolds and electromagnetic fields on graphs

Sergei Buyalo

A 3-dimensional graph-manifold is composed from simple blocks which are products of compact surfaces with boundary by the circle. Its global structure may be as complicated as one…

math.GT2003

Topological and geometric properties of graph-manifolds

S. Buyalo, P. Svetlov

This is an exposition of results on the existence problem of -injective immersed and embedded surfaces in graph-manifolds, and also of nonpositively curved metrics on graph-ma…