Rescaling principle for isolated essential singularities of quasiregular mappings
Complex Variables
2015-05-20 v2 Metric Geometry
Abstract
We establish a rescaling theorem for isolated essential singularities of quasiregular mappings. As a consequence we show that the class of closed manifolds receiving a quasiregular mapping from a punctured unit ball with an essential singularity at the origin is exactly the class of closed quasiregularly elliptic manifolds, that is, closed manifolds receiving a non-constant quasiregular mapping from a Euclidean space.
Keywords
Cite
@article{arxiv.1211.2977,
title = {Rescaling principle for isolated essential singularities of quasiregular mappings},
author = {Yûsuke Okuyama and Pekka Pankka},
journal= {arXiv preprint arXiv:1211.2977},
year = {2015}
}
Comments
8 pages, added a corollary and references