The geometry of the Thurston metric: a survey
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Publication:6610511
DOI10.1007/978-3-031-43502-7_2MaRDI QIDQ6610511
Publication date: 25 September 2024
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)
Cites Work
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- Parameterizing Hitchin components
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- Circle homeomorphisms and shears
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- Hitchin characters and geodesic laminations
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- Geodesic currents and counting problems
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- The marked length spectrum of Anosov manifolds
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- Almost-isometry between Teichmüller metric and length-spectrum metric on moduli space
- A Bers-like proof of the existence of train tracks for free group automorphisms
- COARSE AND FINE GEOMETRY OF THE THURSTON METRIC
- Length Functions on Currents and Applications to Dynamics and Counting
- The shadow of a Thurston geodesic to the curve graph
- Riemann Surfacese and Related Topics (AM-97)
- Combinatorics of Train Tracks. (AM-125)
- The Weil-Petersson Symplectic Structure at Thurston's Boundary
- Some properties and applications of harmonic mappings
- LENGTH SPECTRUMS OF RIEMANN SURFACES AND THE TEICHMÜLLER METRIC
- Generalizing Stretch Lines for Surfaces with Boundary
- On the geometry of Outer space
- The horoboundary and isometry group of Thurston's Lipschitz metric
- Almost-isometry between the Teichmüller metric and the length-spectrum metric on reduced moduli space for surfaces with boundary
- Shearing coordinates and convexity of length functions on Teichmüller space
- Comparison between Teichmüller and Lipschitz metrics
- On Homotopic Harmonic Maps
- Harmonic Mappings of Riemannian Manifolds
- Problems on the Thurston metric
- Measured foliations and harmonic maps of surfaces
- Masur's criterion does not hold in the Thurston metric
- Local rigidity of the Teichmüller space with the Thurston metric
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