An extension of the Weil-Petersson metric to quasi-Fuchsian space

DOI10.1007/s00208-008-0218-3zbMath1176.30095OpenAlexW2153762597MaRDI QIDQ930548

Edward C. Taylor, Martin J. Bridgeman

Publication date: 1 July 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-008-0218-3

zbMATH Keywords

Kleinian groupsTeichmüller theory

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (13)

An introduction to pressure metrics for higher Teichmüller spaces ⋮ On the volume of anti-de Sitter maximal globally hyperbolic three-manifolds ⋮ Margulis multiverse: Infinitesimal rigidity, pressure form and convexity ⋮ The covariance metric in the Blaschke locus ⋮ Hessian of Hausdorff dimension on purely imaginary directions ⋮ A Weil-Petersson type metric on spaces of metric graphs ⋮ Thermodynamics, dimension and the Weil-Petersson metric ⋮ The pressure metric for Anosov representations ⋮ The pressure metric on the Margulis multiverse ⋮ Entropy, minimal surfaces and negatively curved manifolds ⋮ Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space ⋮ Variations along the Fuchsian locus ⋮ From curves to currents

Cites Work

• Thermodynamics, dimension and the Weil-Petersson metric
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Earthquakes are analytic
• Thurston's Riemannian metric for Teichmüller space
• The geometry of Teichmüller space via geodesic currents
• Hausdorff dimension of quasi-circles
• Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form
• Conformally natural extension of homeomorphisms of the circle
• The geometry of finitely generated Kleinian groups
• Ergodic properties of function groups
• Geometrical finiteness for hyperbolic groups
• Patterson-Sulliavan measures and quasi-conformal deformations
• Transformation Groups and Natural Bundles
• Complex earthquakes and Teichmüller theory
• Repellers for real analytic maps
• On Dynamical Systems With the Specification Property
• Periodic Orbits for Hyperbolic Flows
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An extension of the Weil-Petersson metric to quasi-Fuchsian space