Tukia's isomorphism theorem in CAT(–1) spaces

DOI10.5186/aasfm.2016.4141zbMath1388.20063arXiv1508.06960OpenAlexW1911994652MaRDI QIDQ5739327

David Simmons, Tushar Das, Mariusz Urbański

Publication date: 15 July 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06960

zbMATH Keywords

geometrically finite groupsHausdorff dimensionKleinian groupsrigidity theoremsquasisymmetric maps\(\mathrm{CAT}(-1)\) spacesrank one symmetric spaces of noncompact type

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Rigidity results (53C24) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Patterson-Sullivan measures in higher rank
• On isomorphisms of geometrically finite Möbius groups
• Compact 3-manifolds of constant negative curvature fibering over the circle
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Embeddings of Gromov hyperbolic spaces
• Geometrical finiteness with variable negative curvature
• The quasi-isometry classification of rank one lattices
• On homogeneous manifolds of negative curvature
• Geometrical finiteness for hyperbolic groups
• A Bowen type rigidity theorem for non-cocompact hyperbolic groups
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• Gromov hyperbolic spaces
• RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Limit sets of discrete groups of isometries of exotic hyperbolic spaces
• A topological characterisation of relatively hyperbolic groups
• Ergodicité et équidistribution en courbure négative
• Geometry and Dynamics in Gromov Hyperbolic Metric Spaces
• Groups with the Haagerup property. Gromov's a-T-menability

This page was built for publication: Tukia's isomorphism theorem in CAT(–1) spaces