Quasiisometric embedding of the fundamental group of an orthogonal graph-manifold into a product of metric trees

DOI10.1090/S1061-0022-2013-01267-2zbMath1321.57002arXiv1204.5874OpenAlexW1973598822MaRDI QIDQ2849204

Aleksandr Viktorovich Smirnov

Publication date: 17 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5874

zbMATH Keywords

asymptotic dimensiongraph manifoldquasi-isometric embeddinglinearly controlled asymptotic dimension

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Relations of low-dimensional topology with graph theory (57M15)

Related Items

Four-dimensional graph-manifolds with fundamental groups quasiisometric to fundamental groups of orthogonal graph-manifolds

Cites Work

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• On intrinsic geometry of surfaces in normed spaces
• Elements of asymptotic geometry
• 3-manifold groups and nonpositive curvature
• On asymptotic dimension of groups acting on trees.
• Quasi-isometric classification of graph manifold groups.
• Embedding universal covers of graph manifolds in products of trees