The Weil-Petersson geometry on the thick part of the moduli space of Riemann surfaces

DOI10.1090/S0002-9939-07-08868-5zbMath1125.30037arXivmath/0603101OpenAlexW2123605732MaRDI QIDQ5295115

Zheng Huang

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603101

zbMATH Keywords

Riemann surfacesTeichmüller spacescalar curvatureRicci curvatureholomorphic sectional curvaturesectional curvatureharmonic mapsWeil-Petersson metric

Mathematics Subject Classification ID

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

Related Items (5)

Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures ⋮ Growth of the Weil-Petersson inradius of moduli space ⋮ The Weil-Petersson curvature operator on the universal Teichmüller space ⋮ The Weil–Petersson geometry of the moduli space of Riemann surfaces ⋮ Bounded properties of curvatures of perturbed Ricci metric on curve moduli

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