Topological mixing in 𝐶𝐴𝑇(-1)-spaces

DOI10.1090/S0002-9947-01-02862-8zbMath0979.57002OpenAlexW1485069029MaRDI QIDQ2750952

Georgios Tsapogas, Charalampos Charitos

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02862-8

zbMATH Keywords

geodesic flowmixing\(\text{CAT}(-1)\)-spacenegatively curved polyhedron

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

The horofunction boundary of a Gromov hyperbolic space ⋮ On the geodesic flow on CAT(0) spaces

Cites Work

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• On the isometries of ideal polyhedra
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• Boundaries of geometrically finite groups
• A small simplification in hyperbolic groups
• On the rigidity of discrete isometry groups of negatively curved spaces
• Approximation of recurrence in negatively curved metric spaces
• Closed geodesics on ideal polyhedra of dimension 2
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• Connectedness properties of limit sets
• Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
• Complexity of geodesics on 2-dimensional ideal polyhedra and isotopies
• Geodesic Flow on Ideal Polyhedra
• Geodesic Flows on Negatively Curved Manifolds. II

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