Geodesic currents and Teichmüller space

DOI10.1016/J.TOP.2004.05.001zbMath1082.30036OpenAlexW2085888224MaRDI QIDQ1765327

Dragomir Šarić

Publication date: 23 February 2005

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.top.2004.05.001

zbMATH Keywords

Liouville measureTeichmueller spacehyperbolic geometryboundaryquasiconformal mapmeasured laminationgeodesic currenteartquake pathHoelder distributioninfinite area surfacesLiouville current

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) Distributions, generalized functions, distribution spaces (46F99) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

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Train tracks and measured laminations on infinite surfaces ⋮ Thurston’s boundary for Teichmüller spaces of infinite surfaces: the length spectrum ⋮ Counting closed geodesics in globally hyperbolic maximal compact AdS 3-manifolds ⋮ Vertical limits of graph domains ⋮ A Thurston boundary and visual sphere of the universal Teichmüller space ⋮ A Thurston boundary for infinite-dimensional Teichmüller spaces ⋮ Convergence of Teichmüller deformations in the universal Teichmüller space

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