Quasiregular mappings from a punctured ball into compact manifolds
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- by Pekka Pankka
- Conform. Geom. Dyn. 10 (2006), 41-62
- DOI: https://doi.org/10.1090/S1088-4173-06-00136-6
- Published electronically: March 8, 2006
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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.References
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Bibliographic Information
- Pekka Pankka
- Affiliation: Department of Mathematics and Statistics, P.O. Box 68, FIN-00014 University of Helsinki, Finland
- Email: pekka.pankka@helsinki.fi
- 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 VÀisÀlÀn rahasto
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Conform. Geom. Dyn. 10 (2006), 41-62
- MSC (2000): Primary 30C65; Secondary 53C21, 58A12
- DOI: https://doi.org/10.1090/S1088-4173-06-00136-6
- MathSciNet review: 2218640