A question of Kühnau

DOI10.1016/j.jmaa.2018.12.053zbMath1421.30031arXiv1808.02845OpenAlexW2964165525MaRDI QIDQ1733789

Samuel L. Krushkal

Publication date: 21 March 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02845

zbMATH Keywords

holomorphic quadratic differentialconvex quadrilateralBeltrami coefficientgeneralized Gaussian curvatureTeichmüller extremality

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Quasireflections, Fredholm eigenvalues, and Finsler metrics
• Grunsky coefficient inequalities, Carathéodory metric and extremal quasiconformal mappings
• Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q- quasikonforme Fortsetzbarkeit ? (Under which conditions are the Grunsky coefficients Q-quasiconformal extendable ?)
• The strong form of Ahlfors' lemma
• Möglichst konforme Spielung an einer Jordankurve. (Utmost conformal refection at a Jordan curve)
• On the existence of extremal Teichmueller mappings
• Isometrically embedded polydisks in infinite dimensional Teichmüller spaces
• Strengthened Moser's conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues
• Strengthened Grunsky and Milin Inequalities
• Holomorphic Motions and Teichmuller Spaces
• Plurisubharmonic features of the Teichmuller metric

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