Incompleteness of the pressure metric on the Teichmüller space of a bordered surface

DOI10.1017/etds.2017.73zbMath1414.37022arXiv1608.03937OpenAlexW2949849336WikidataQ125891500 ScholiaQ125891500MaRDI QIDQ5376552

Binbin Xu

Publication date: 13 May 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03937

zbMATH Keywords

Teichmüller spaceWeil-Petersson metricpressure metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Topological entropy (37B40) Teichmüller theory for Riemann surfaces (30F60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

Thermodynamic metrics on outer space ⋮ Pressure metrics and Manhattan curves for Teichmüller spaces of punctured surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Weil-Petersson type metric on spaces of metric graphs
• The pressure metric for Anosov representations
• On parameterizations of Teichmüller spaces of surfaces with boundary
• Thermodynamics, dimension and the Weil-Petersson metric
• Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space
• Thurston's Riemannian metric for Teichmüller space
• Noncompleteness of the Weil-Petersson metric for Teichmüller space
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• A canonical cellular decomposition of the Teichmüller space of compact surfaces with boundary
• On Teichmüller spaces of surfaces with boundary
• How Riemannian Manifolds Converge
• The Orthogonal Spectrum of a Hyperbolic Manifold
• Periodic Orbits for Hyperbolic Flows

This page was built for publication: Incompleteness of the pressure metric on the Teichmüller space of a bordered surface