Geodesic flow for CAT(0)-groups

DOI10.2140/gt.2012.16.1345zbMath1263.37052arXiv1003.4630OpenAlexW2038895595MaRDI QIDQ441118

Wolfgang Lück, Arthur C. Bartels

Publication date: 20 August 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4630

zbMATH Keywords

geodesic flowhomotopy actionsCAT(0)-spacescontracting transfers

Mathematics Subject Classification ID

Hyperbolic groups and nonpositively curved groups (20F67) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

The $K$-theoretic Farrell-Jones conjecture for CAT(0)-groups, Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence, The Farrell–Jones conjecture for virtually solvable groups:, Entropies of non-positively curved metric spaces, On the transfer reducibility of certain Farrell-Hsiang groups, The Borel conjecture for hyperbolic and CAT(0)-groups, On Proofs of the Farrell–Jones Conjecture, The Farrell–Jones conjecture for hyperbolic and CAT(0)-groups revisited, Coarse flow spaces for relatively hyperbolic groups, \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\), Finitely \(\mathcal{F}\)-amenable actions and decomposition complexity of groups, The Farrell-Jones conjecture for the solvable Baumslag-Solitar groups, The Farrell–Jones conjecture forS-arithmetic groups, Acylindrical actions on trees and the Farrell-Jones conjecture, The Farrell-Jones conjecture for some nearly crystallographic groups

Cites Work

• The Borel conjecture for hyperbolic and CAT(0)-groups
• Equivariant covers for hyperbolic groups.
• Stable pseudoisotopy spaces of compact nonpositively curved manifolds
• Flows and joins of metric spaces
• A convenient category of topological spaces
• On the Farrell-Jones Conjecture and its applications
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