The Weil–Petersson geometry of the moduli space of Riemann surfaces

DOI10.1090/S0002-9939-08-09692-5zbMath1180.30050arXiv0807.1429WikidataQ125974976 ScholiaQ125974976MaRDI QIDQ3605006

Lee-Peng Teo

Publication date: 25 February 2009

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

Full work available at URL: https://arxiv.org/abs/0807.1429

zbMATH Keywords

curvatureRiemann surfaceWeil-Petersson metricModuli space

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 (8)

Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary ⋮ Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures ⋮ A new uniform lower bound on Weil-Petersson distance ⋮ Growth of the Weil-Petersson inradius of moduli space ⋮ Variation of holonomy for projective structures and an application to drilling hyperbolic 3-manifolds ⋮ Growth of the Weil-Petersson diameter of moduli space ⋮ The Weil-Petersson curvature operator on the universal Teichmüller space ⋮ Bounded properties of curvatures of perturbed Ricci metric on curve moduli

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