Continuity of certain differentials on finitely augmented Teichmüller spaces and variational formulas of Schiffer-Spencer's type

DOI10.2748/TMJ/1178228494zbMath0606.32013OpenAlexW2046283134MaRDI QIDQ1084558

Masahiko Taniguchi

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/1178228494

zbMATH Keywords

augmented Teichmüller spacescontinuity properties of holomorphic and harmonic differentials on Riemann surfacesmarking preserving deformationVariational formulas of Schiffer-Spencer type

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Deformations of complex structures (32G05) Differentials on Riemann surfaces (30F30)

Related Items (2)

A note on continuity of Green's functions on Riemann surfaces ⋮ An example of an open Riemann surface not uniformly large with respect to Green's functions

Cites Work

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• Dirichlet finite harmonic differentials with integral periods on arbitrary Riemann surfaces
• On convergence of holomorphic abelian differentials on the Teichmüller spaces of arbitrary Riemann surfaces
• Square integrable harmonic differentials on arbitrary Riemann surfaces with a finite number of nodes
• Variational formulas on arbitrary Riemann surfaces under pinching deformation
• Remarks on topologies associated with squeezing a non-dividing loop on compact Riemann surfaces

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