Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume

DOI10.1215/00127094-2018-0061zbMath1420.32007arXiv1704.06021OpenAlexW3106208315WikidataQ128288803 ScholiaQ128288803MaRDI QIDQ2631562

Jeffrey F. Brock, Martin J. Bridgeman, Kenneth W. Bromberg

Publication date: 15 May 2019

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

Full work available at URL: https://arxiv.org/abs/1704.06021

zbMATH Keywords

Schwarzian derivativehyperbolic 3-manifoldquadratic differentialWeil-Petersson gradient flow

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (8)

Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary ⋮ A new uniform lower bound on Weil-Petersson distance ⋮ The dual Bonahon-Schläfli formula ⋮ 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 ⋮ The infimum of the dual volume of convex cocompact hyperbolic 3-manifolds ⋮ No ensemble averaging below the black hole threshold ⋮ The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance

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