Remarks on holomorphic families of Riemann surfaces

DOI10.2748/tmj/1178228406zbMath0625.30048OpenAlexW2092058802MaRDI QIDQ579468

Hiroshige Shiga

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228406

zbMATH Keywords

Fuchsian groupholomorphic families of Riemann surfaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (2)

On the Maskit coordinates of Teichmüller spaces and modular transformations ⋮ A rigidity theorem for holomorphic disks in Teichmüller space

Cites Work

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• On analytic and geometric properties of Teichmüller spaces
• On Teichmüller spaces and modular transformations
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• Uniqueness conditions for certain holomorphic mappings
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• On boundaries of Teichmüller spaces and on Kleinian groups. II
• On Iterates of Hyperbolic Transformations of Teichmuller Space
• A foliation of Teichmüller space by twist invariant disks.

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