Completeness of 𝑝-Weil-Petersson distance

DOI10.1090/ecgd/369zbMath1493.30093OpenAlexW4280535545MaRDI QIDQ5863493

Masahiro Yanagishita

Publication date: 1 June 2022

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/ecgd/369

zbMATH Keywords

Weil-Petersson metric\(p\)-integrable Teichmüller space

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Diff(S\({}^ 1)\) and the Teichmüller spaces
• The Fenchel-Nielsen deformation
• On the boundedness of integrable automorphic forms
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• Rigidity of groups of circle diffeomorphisms and Teichmüller spaces
• Kählerity and negativity of Weil-Petersson metric on square integrable Teichmüller space
• Some remarks on Teichmüller's space of Riemann surfaces
• Curvature properties of Teichmüller's space
• On the Weil-Petersson Geometry of the Moduli Space of Curves
• On the Boundedness of p-Integrable Automorphic Forms
• Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric
• Weil-Petersson metric on the universal Teichmüller space
• Introduction of a complex structure on the p-integrable Teichmüller space

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