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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Quasiregular mappings from a punctured ball into compact manifolds
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by Pekka Pankka PDF
Conform. Geom. Dyn. 10 (2006), 41-62 Request permission

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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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
  • 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
  • © 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