Lines of minima with no end in Thurston’s boundary of Teichmüller space

DOI10.1090/S1088-4173-2012-00240-8zbMath1254.30068OpenAlexW2075346548MaRDI QIDQ2888649

Yuki Iguchi

Publication date: 1 June 2012

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-2012-00240-8

zbMATH Keywords

Teichmüller spaceThurston's boundaryTeichmüller geodesicline of minima

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Lines of minima are uniformly quasigeodesic
• Lines of minima and Teichmüller geodesics
• Foliations and laminations on hyperbolic surfaces
• The length spectra as moduli for compact Riemann surfaces
• Lines of minima in Teichmüller space
• Limit points of lines of minima in Thurston's boundary of Teichmüller space
• Two boundaries of Teichmüller space
• Extremal length estimates and product regions in Teichmüller space
• Teichmüller geodesics that do not have a limit in \(\mathcal PMF\)
• Extremal length geometry of teichmüller space
• Comparison of hyperbolic and extremal lengths
• Geometry and spectra of compact Riemann surfaces

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