Variations of Abelian differentials under quasiconformal deformations

DOI10.1007/BF01182383zbMath0536.32007OpenAlexW2002844538MaRDI QIDQ791722

Yukio Kusunoki, Fumio Maitani

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173245

zbMATH Keywords

Teichmüller spaceperiod matricesopen Riemann surfacesquasiconformal deformationsAbelian differentialsnormal behavior

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) Differentials on Riemann surfaces (30F30) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

A note on continuity of Green's functions on Riemann surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiability of period matrices in Teichmüller spaces
• The method of linear operators for square integrable differentials on open Riemann surfaces and its applications
• Holomorphic differentials as functions of moduli
• A continuity property of holomorphic differentials under quasiconformal deformations
• Square Integrable Differentials on Riemann Surfaces and Quasiconformal Mappings

This page was built for publication: Variations of Abelian differentials under quasiconformal deformations