Comparing invariant distances and conformal metrics on Riemann surfaces

DOI10.1007/BF02809900zbMath1005.30033MaRDI QIDQ5935809

David Herrron, David Minda

Publication date: 9 April 2002

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

zbMATH Keywords

Schwarz lemmaconformal metricRiemann surfacehyperbolic metricharmonic distanceHarnack distance

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items

Conformal invariants defined by harmonic functions on Riemann surfaces ⋮ Some inequalities for the Poincaré metric of plane domains

Cites Work

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• The Harnack and other conformally invariant metrics
• On Harnack's pseudo-distance
• Die Harnacksche Metrik in der Theorie der harmonischen Funktionen
• Confromal invariants and function-theoretic null-sets
• On a distance invariant under Möbius transformations in R^n
• On the Harnack constant and the boundary behavior of Harnack functions
• Part Metric and Hyperbolic Metric