Boundary behaviour of some conformal invariants on planar domains

DOI10.1007/s40315-020-00303-2zbMath1442.30045arXiv1904.06867OpenAlexW3005094102MaRDI QIDQ2174785

Amar Deep Sarkar, Kaushal Verma

Publication date: 27 April 2020

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06867

zbMATH Keywords

quadratic differentialCarathéodory metrichigher order curvatureAumann-Carathéodory constant

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (3)

A submultiplicative property of the Carathéodory metric on planar domains ⋮ On the Hurwitz metric ⋮ Boundary behaviour of the span metric and its higher-order curvatures

Cites Work

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• The hyperbolic metric and coverings of Riemann surfaces
• The curvatures of the analytic capacity
• Comments on the Green's function of a planar domain
• On a metric induced by analytic capacity. I.
• Invariant distances and metrics in complex analysis

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