Examples of uniformly quasiregular mappings-Reference-Cited by-同舟云学术

Examples of uniformly quasiregular mappings

Published:1999-12-02 Issue:10 Volume:3 Page:158-163
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Peltonen Kirsi

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 S^n .

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/1999-03-10/S1088-4173-99-00053-3/S1088-4173-99-00053-3.pdf

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