Distances on the moduli space of complex projective structures

DOI10.1016/j.exmath.2019.04.006zbMath1461.30106arXiv1812.00695OpenAlexW2949780214WikidataQ127677893 ScholiaQ127677893MaRDI QIDQ2221491

Gianluca Faraco

Publication date: 2 February 2021

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00695

zbMATH Keywords

complex projective structuresBergman distanceHermitian structuresKobayashi and Carathéodory distances

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Cites Work

• The Caratheodory metric on abelian Teichmüller disks
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• Noncompleteness of the Weil-Petersson metric for Teichmüller space
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Carathéodory's metrics on Teichmüller spaces and \(L\)-shaped pillowcases
• Zur Theorie der Funktionen mehrerer komplexen Veränderlichen: Caratheodorysche Metrik und Regularitätshüllen
• Complex geometry. An introduction
• The moduli space of Riemann surfaces is Kähler hyperbolic
• The complex symplectic geometry of the deformation space of complex projective structures
• Special coordinate coverings of Riemann surfaces
• Some remarks on Teichmüller's space of Riemann surfaces
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem
• Stein Manifolds and Holomorphic Mappings
• Simultaneous uniformization
• Complex Projective Structures
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
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