Flows and joins of metric spaces

DOI10.2140/gt.2005.9.403zbMath1137.37314arXivmath/0503274OpenAlexW3103634376MaRDI QIDQ2388848

Igor Mineyev

Publication date: 20 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503274

zbMATH Keywords

geodesic flowcross-ratioGromov hyperbolic spacehyperbolic complexdouble differencetranslation lengthasymmetric joingeodesic metric geometrymetric joinsymmetric join

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Geometric structures on manifolds of high or arbitrary dimension (57N16) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (26)

An introduction to pressure metrics for higher Teichmüller spaces ⋮ Proper isometric actions of hyperbolic groups on -spaces ⋮ Strong hyperbolicity ⋮ Some recent results on Anosov representations ⋮ Counting problems for special-orthogonal Anosov representations ⋮ Eigenvalues and entropy of a Hitchin representation ⋮ Harmonicity of Gibbs measures ⋮ Anosov representations: domains of discontinuity and applications. ⋮ Margulis multiverse: Infinitesimal rigidity, pressure form and convexity ⋮ Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups ⋮ A report on an ergodic dichotomy ⋮ The Borel conjecture for hyperbolic and CAT(0)-groups ⋮ Anosov representations over closed subflows ⋮ Anosov subgroups: dynamical and geometric characterizations ⋮ On Proofs of the Farrell–Jones Conjecture ⋮ Geodesic flow for CAT(0)-groups ⋮ Coarse flow spaces for relatively hyperbolic groups ⋮ The pressure metric for Anosov representations ⋮ The pressure metric on the Margulis multiverse ⋮ Equivariant covers for hyperbolic groups. ⋮ Topological flows for hyperbolic groups ⋮ Simple root flows for Hitchin representations ⋮ The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups ⋮ Metric conformal structures and hyperbolic dimension ⋮ Strong symbolic dynamics for geodesic flows on \(\operatorname{CAT}(-1)\) spaces and other metric Anosov flows ⋮ Dehn filling in relatively hyperbolic groups.

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