Examples of uniformly quasiregular mappings
Author:
Kirsi Peltonen
Journal:
Conform. Geom. Dyn. 3 (1999), 158-163
MSC (1991):
Primary 30C65, 58F; Secondary 53C
DOI:
https://doi.org/10.1090/S1088-4173-99-00053-3
Published electronically:
December 2, 1999
MathSciNet review:
1718708
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we construct examples of uniformly quasiregular (uqr) mappings. These provide counterexamples for a rigidity conjecture in quasiregular dynamics. It states that a closed manifold of dimension at least three, which admits a branched uqr mapping, is quasiconformally equivalent to an ordinary sphere $S^n$.
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Additional Information
Kirsi Peltonen
Affiliation:
Helsinki University of Technology, Department of Engineering Physics and Mathematics, P.O. Box 1100, 02015 HUT, Finland
Email:
Kirsi.Peltonen@hut.fi
Keywords:
Uniformly quasiregular mappings,
quasiregular dynamics,
branched covering
Received by editor(s):
July 26, 1999
Received by editor(s) in revised form:
October 27, 1999
Published electronically:
December 2, 1999
Article copyright:
© Copyright 1999
American Mathematical Society
