Ideal boundaries of pseudo-Anosov flows and uniform convergence groups with connections and applications to large scale geometry

DOI10.2140/gt.2012.16.1zbMath1279.37026arXivmath/0507153OpenAlexW2042359080MaRDI QIDQ422815

Sérgio R. Fenley

Publication date: 18 May 2012

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

Full work available at URL: https://arxiv.org/abs/math/0507153

zbMATH Keywords

compactificationuniversal coverAnosov flowpseudo-Anosov flowquasigeodesic flowideal boundaryGromov hyperbolic groupstable and unstable leaves

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) General geometric structures on low-dimensional manifolds (57M50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30)

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Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ Coarse hyperbolicity and closed orbits for quasigeodesic flows ⋮ Quasigeodesic pseudo-Anosov flows in hyperbolic 3-manifolds and connections with large scale geometry ⋮ Pseudo-Anosov flows in toroidal manifolds ⋮ On laminar groups, Tits alternatives and convergence group actions on \(\mathrm{S}^2\) ⋮ Low-dimensional topology. Abstracts from the workshop held January 15--21, 2023 ⋮ Groups acting at infinity ⋮ Flows, growth rates, and the veering polynomial ⋮ Contact Anosov flows on hyperbolic 3-manifolds ⋮ Conical limit points and the Cannon-Thurston map ⋮ Laminar Groups and 3-Manifolds ⋮ Veering triangulations and the Thurston norm: homology to isotopy ⋮ Quasigeodesic flows and sphere-filling curves

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