Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

DOI10.1515/crelle-2020-0005zbMath1473.30027arXiv1908.02535OpenAlexW3103902820MaRDI QIDQ827420

Yunhui Wu, Martin J. Bridgeman

Publication date: 8 January 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02535

zbMATH Keywords

systoleWeil-Petersson metricharmonic Beltrami differentialWeil-Petersson curvature

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 (4)

A new uniform lower bound on Weil-Petersson distance ⋮ The vanishing rate of Weil-Petersson sectional curvatures ⋮ The Weil-Petersson gradient flow of renormalized volume and 3-dimensional convex cores ⋮ Variation of holonomy for projective structures and an application to drilling hyperbolic 3-manifolds

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