Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space. II

DOI10.1007/s10711-012-9727-zzbMath1257.30048OpenAlexW4250260281MaRDI QIDQ1938047

Hideki Miyachi

Publication date: 1 February 2013

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

Full work available at URL: https://doi.org/10.1007/s10711-012-9727-z

zbMATH Keywords

Teichmüller spaceThurston boundaryGardiner-Masur boundaryTeichmüller geodesic rays

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (15)

On the properties of various compactifications of Teichmüller space ⋮ Extremal length boundary of the Teichmüller space contains non-Busemann points ⋮ Convergence of earthquake and horocycle paths to the boundary of Teichmüller space ⋮ Central limit theorems for mapping class groups and \(\operatorname{Out}(F_N)\) ⋮ The asymptotic geometry of the Teichmüller metric ⋮ Pluripotential theory on Teichmüller space. II: Poisson integral formula ⋮ A divergent horocycle in the horofunction compactification of the Teichmüller metric ⋮ The universal commensurability Busemann horofunction compactified Teichmüller space ⋮ Stars at infinity for boundaries of Teichmüller space ⋮ A new boundary of the mapping class group ⋮ A new compactification of Teichmüller space ⋮ Totally geodesic homeomorphisms between Teichmüller spaces ⋮ Unification of extremal length geometry on Teichmüller space via intersection number ⋮ Convergence of some horocyclic deformations to the Gardiner-Masur boundary ⋮ Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis

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