On the existence of certain general extremal metrics. II

DOI10.2748/tmj/1178225919zbMath0780.30019OpenAlexW2095804846MaRDI QIDQ685323

James A. Jenkins

Publication date: 26 January 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225919

zbMATH Keywords

quadratic differentialsextremal metricconformally invariant metricsfinite Riemann surface

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global Riemannian geometry, including pinching (53C20) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (7)

The general coefficient theorem of Jenkins and the method of modules of curve families ⋮ Elementary construction of Jenkins-Strebel differentials ⋮ Some geometric properties of extremal decompositions ⋮ Gennadiĭ Mikhaĭlovich Goluzin and geometric function theory ⋮ The module method in a certain general extremal decomposition problem ⋮ Theorems on the extremal decomposition in a family of systems of domains of various types ⋮ On \(n\)-fold symmetrization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new canonical mappings for multiply-connected domains
• On the existence of certain general extremal metrics
• On the global structure of the trajectories of a positive quadratic differential
• Konstruktion gewisser quadratischer Differentiale mit Hilfe von DIRICHLETintegralen
• Some Problems in Conformal Mapping

This page was built for publication: On the existence of certain general extremal metrics. II