Dieudonné points of holomorphic self-maps of regions

DOI10.1007/BF03321696zbMath1153.30022OpenAlexW2006780327MaRDI QIDQ934556

Alan F. Beardon, David Minda

Publication date: 29 July 2008

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

Full work available at URL: http://www.heldermann.de/CMF/CMF08/CMF082/cmf08032.htm

zbMATH Keywords

fixed pointshyperbolic regionsEuclidean contractions

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geometric function theory (30C99)

Related Items (3)

Some applications of higher-order hyperbolic derivatives ⋮ On a multi-point Schwarz-Pick lemma ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

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• A multi-point Schwarz-Pick lemma
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• Über analytische Abbildungen Riemannscher Flächen in sich
• Proper holomorphic self-maps of plane regions
• A conformal self-map which fixes three points in the identity
• The minimum points of the hyperbolic metric
• The Schwarz-Pick Lemma for derivatives
• On the number of 1-1 directly conformal maps which a multiply-connected plane region of finite connectivity 𝑝({>2}) admits onto itself

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