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Quasiregular mappings from a punctured ball into compact manifolds
Author(s):
Pekka
Pankka
Journal:
Conform. Geom. Dyn.
10
(2006),
41-62.
MSC (2000):
Primary 30C65;
Secondary 53C21, 58A12
Posted:
March 8, 2006
Retrieve article in:
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Additional information
Abstract:
We study quasiregular mappings from a punctured unit ball of the Euclidean  -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
Email:
pekka.pankka@helsinki.fi
DOI:
10.1090/S1088-4173-06-00136-6
PII:
S 1088-4173(06)00136-6
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
Posted:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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