Conformal invariants associated with quadratic differentials

DOI10.1007/S11856-017-1625-5zbMath1456.30047arXiv1608.00790OpenAlexW2963536453MaRDI QIDQ1709745

Eric D. Schippers

Publication date: 6 April 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00790

zbMATH Keywords

conformally invariant functionalquadratic differential with singularities

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Differentials on Riemann surfaces (30F30)

Cites Work

• Quadratic differentials and conformal invariants
• Conformal invariants and higher-order Schwarz lemmas
• Extremal length, extremal regions and quadratic differentials
• On two point distortion theorems for bounded univalent regular functions
• Moduli of families of curves for conformal and quasiconformal mappings
• Hyperbolic capacity and its distortion under conformal mapping
• Monotonicity and comparison results for conformal invariants
• The derivative of the Nehari functional
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Geometrie der konformen Abbildung auf der hyperbolischen Ebene
• Extremal Length and Harmonic Functions on Riemann Surfaces
• Some Inequalities in the Theory of Functions
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