Quasi-isometric embedding of the fundamental group of an orthogonal   graph-manifold into a product of metric trees
  In every dimension $n\ge 3$ we introduce a class of orthogonal graph-manifolds and prove that the fundamental group of any orthogonal graph-manifold quasi-isometrically embeds into a product of $n$ trees. As a consequence, we obtain that asymptotic and linearly-controlled asymptotic dimensions of such group are equal to $n$. 
Alexander Smirnov
math.GT math.MG