A Picard type theorem for quasiregular mappings of \(\mathbb{R}^ n\) into \(n\)- manifolds with many ends
type: Item
instance of: scholarly article
title: A Picard type theorem for quasiregular mappings of \(\mathbb{R}^ n\) into \(n\)- manifolds with many ends
zbMATH Open document ID: 0763.30006
DOI: 10.4171/RMI/120
author: Ilkka Holopainen
author: Seppo Rickman
published in: Revista Matemática Iberoamericana
publication date: 1993-02-23T00:00:00Z
full work available at URL: https://eudml.org/doc/39424
review text: The second author proved a generalization of Picard's theorem for quasiregular maps of Euclidean spaces in 1980. Here a generalization of this earlier result is given to the case when the target is no longer an Euclidean space but an \(n\)-manifold. Some of the ideas used in the proofs rely on recent work of A. Eremenko and J. Lewis. In particular, the authors use the measure \(\mu\) associated to an \(A\)-harmonic function given by the Riesz representation theorem.
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 109057
zbMATH Keywords: quasiregular maps
zbMATH Keywords: Picard theorem
reviewed by: M. Vuorinen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 109057