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arXiv · 1211.2977

Rescaling principle for isolated essential singularities of quasiregular mappings

Yûsuke Okuyama·Pekka Pankka
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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.

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Yûsuke Okuyama, Pekka Pankka. 2012-11-13. Rescaling principle for isolated essential singularities of quasiregular mappings. https://doi.org/10.1090/s0002-9939-2014-12378-1

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