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Conformal Geometry and Dynamics

ISSN 1088-4173



Quasiregular mappings from a punctured ball into compact manifolds

Author: Pekka Pankka
Journal: Conform. Geom. Dyn. 10 (2006), 41-62
MSC (2000): Primary 30C65; Secondary 53C21, 58A12
Published electronically: March 8, 2006
MathSciNet review: 2218640
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Abstract: We study quasiregular mappings from a punctured unit ball of the Euclidean $n$-space into compact manifolds. We show that a quasiregular mapping has a limit in the point of punctuation whenever the dimension of the cohomology ring of the compact manifold exceeds a bound given in terms of the dimension and the distortion constant of the mapping.

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Additional Information

Pekka Pankka
Affiliation: Department of Mathematics and Statistics, P.O. Box 68, FIN-00014 University of Helsinki, Finland

Keywords: Essential singularity, big Picard theorem, $p$-harmonic forms, quasiregular mappings
Received by editor(s): February 22, 2005
Received by editor(s) in revised form: January 18, 2006
Published electronically: March 8, 2006
Additional Notes: The author was partly supported by the Academy of Finland, project 53292, and by foundation Vilho, Yrjö ja Kalle Väisälän rahasto
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.