Stability of quasi-geodesics in Teichmüller space

DOI10.1007/s10711-009-9428-4zbMath1198.30047OpenAlexW2010561827MaRDI QIDQ976831

Ursula Hamenstädt

Publication date: 16 June 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9428-4

zbMATH Keywords

stabilityTeichmüller metricquasi-geodesicscurve graph

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Teichmüller theory for Riemann surfaces (30F60)

Related Items (11)

Typical properties of periodic Teichmüller geodesics: Lyapunov exponents ⋮ Topological Veech dichotomy and tessellations of the hyperbolic plane ⋮ Translation surfaces and the curve graph in genus two ⋮ Small eigenvalues of random 3-manifolds ⋮ Hyperbolic extensions of free groups ⋮ A combination theorem for metric bundles ⋮ Bounded combinatorics and the Lipschitz metric on Teichmüller space ⋮ Distance in the curve graph ⋮ Convex hull of set in thick part of Teichmüller space ⋮ Height, graded relative hyperbolicity and quasiconvexity ⋮ Invariant Radon measures on measured lamination space

Cites Work

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• Dynamics of the Teichmüller flow on compact invariant sets
• A combinatorial model for the Teichmüller metric
• Intersection numbers and the hyperbolicity of the curve complex
• Semiconjugacies between Kleinian group actions on the Riemann sphere
• Geometry and spectra of compact Riemann surfaces

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