Isometries between the spaces of \(L^1\) holomorphic quadratic differentials on Riemann surfaces of finite type

DOI10.1215/S0012-7094-03-12029-3zbMath1063.30038OpenAlexW2088399046MaRDI QIDQ1423880

Clifford J. Earle, Vladimir Marković

Publication date: 7 March 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1082138591

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

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Teichmüller spaces and bounded symmetric domains do not mix isometrically ⋮ Teichmüller Spaces and the Rigidity of Mapping Class Group Actions ⋮ Isometric submersions of Teichmüller spaces are forgetful ⋮ Fiber spaces over Teichmüller spaces for Fuchsian groups with elliptic elements ⋮ Isomorphisms of fiber spaces over Teichmüller spaces ⋮ Analysis of constrained Willmore surfaces ⋮ Teichmüller spaces for pointed Fuchsian groups ⋮ Local rigidity of the Teichmüller space with the Thurston metric ⋮ Unification of extremal length geometry on Teichmüller space via intersection number ⋮ A characterization of biholomorphic automorphisms of Teichmüller space ⋮ On quasiconformal deformations of the universal hyperbolic solenoid ⋮ Biholomorphic isomorphisms between Teichmüller curves

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