On Thurston's boundary of Teichmüller space and the extension of earthquakes

DOI10.1016/0166-8641(91)90001-3zbMath0761.57009OpenAlexW1970126577MaRDI QIDQ1187117

Athanase Papadopoulos

Publication date: 28 June 1992

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90001-3

zbMATH Keywords

intersection numbersTeichmüller spacemeasured foliationsgeodesic laminationconvergence of a sequence of hyperbolic metrics to a point on Thurston's boundaryearthquake flowlengths of simple closed geodesics

Mathematics Subject Classification ID

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

The horofunction compactification of Teichmüller spaces of surfaces with boundary, Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form, Convergence of earthquake and horocycle paths to the boundary of Teichmüller space, The Thurston boundary of Teichmüller space and complex of curves, Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil-Petersson volumes, Masur's criterion does not hold in the Thurston metric, The arc metric on Teichmüller spaces of surfaces of infinite type with boundary, Lengths of simple loops on surfaces with hyperbolic metrics, COARSE AND FINE GEOMETRY OF THE THURSTON METRIC, On the classification of mapping class actions on Thurston's asymmetric metric, On elementary antistretch lines, Geodesic currents and counting problems, Shift coordinates, stretch lines and polyhedral structures for Teichmüller space, Bijections of geodesic lamination space preserving left Hausdorff convergence, On the Finsler structure of Teichmüller's metric and Thurston's metric, Earthquakes on Riemann Surfaces and on Measured Geodesic Laminations, Comparisons of metrics on Teichmüller space, Convergence of some horocyclic deformations to the Gardiner-Masur boundary, Earthquakes and circle packings.

Cites Work

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• The asymptotic geometry of Teichmüller space
• Two boundaries of Teichmüller space
• Earthquakes on Riemann Surfaces and on Measured Geodesic Laminations
• Combinatorics of Train Tracks. (AM-125)
• Shorter Notes: Some Simple Examples of Symplectic Manifolds