Extension of the Weil-Petersson connection

DOI10.1215/00127094-2008-066zbMath1167.32010arXiv0709.2513OpenAlexW2963144105MaRDI QIDQ999254

Scott A. Wolpert

Publication date: 3 February 2009

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

Full work available at URL: https://arxiv.org/abs/0709.2513

zbMATH Keywords

Pinched hyperbolic metricsTeichmüller space of punctured Riemann surfacesWeil-Petersson (WP) geodesicsWeil-Petersson-Levi-Civita connection

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Teichmüller theory for Riemann surfaces (30F60)

Related Items

On the Singular Set of Harmonic Maps into DM-Complexes ⋮ $C^1$ estimates for the Weil-Petersson metric ⋮ The Weil-Petersson geodesic flow is ergodic ⋮ On the singular set of a nonlinear degenerate PDE arising in Teichmüller theory ⋮ Rates of mixing for the Weil-Petersson geodesic flow. I: No rapid mixing in non-exceptional moduli spaces ⋮ Products of twists, geodesic lengths and Thurston shears

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