Variation of holonomy for projective structures and an application to drilling hyperbolic 3-manifolds

DOI10.1007/s10711-024-00908-0arXiv2310.10890OpenAlexW4393858232MaRDI QIDQ6126462

Martin J. Bridgeman, Kenneth W. Bromberg

Publication date: 9 April 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.10890

zbMATH Keywords

projective structureclosed surfacehyperbolic drilling

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
• On the renormalized volume of hyperbolic 3-manifolds
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• The collar theorem and examples
• Rigidity of geometrically finite hyperbolic cone-manifolds
• Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume
• The Weil–Petersson geometry of the moduli space of Riemann surfaces
• Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives
• Equiboundedness of the Weil-Petersson metric
• The Weil-Petersson gradient flow of renormalized volume and 3-dimensional convex cores

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