The Hahn metric on Riemann surfaces

DOI10.2996/kmj/1138036663zbMath0524.30013OpenAlexW2119696344MaRDI QIDQ585404

Carl David Minda

Publication date: 1983

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036663

zbMATH Keywords

hyperbolic metricHahn metricmetric on Riemann surface

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Local differential geometry of Hermitian and Kählerian structures (53B35) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Riemann surfaces (30F99)

Related Items (9)

A metric that better approximates the hyperbolic metric ⋮ Guiding isotopies and holomorphic motions ⋮ A conformal invariant for nonvanishing analytic functions and its applications ⋮ Carathéodory density of the Hurwitz metric on plane domains ⋮ Extremal length and uniformization ⋮ Winding and unwinding and essential intersections in ℍ³ ⋮ A conformally invariant metric on Riemann surfaces associated with integrable holomorphic quadratic differentials ⋮ The Hurwitz metric ⋮ A generalized Hurwitz metric

Cites Work

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• On the existence of certain general extremal metrics
• On quadratic differentials with closed trajectories and second order poles
• On a Class of Conformal Metrics
• Some remarks on a new pseudo-differential metric
• On a metric induced by analytic capacity. I.

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