Rescaling principle for isolated essential singularities of quasiregular mappings

Okuyama, Yûsuke; Pankka, Pekka

doi:10.1090/S0002-9939-2014-12378-1

Rescaling principle for isolated essential singularities of quasiregular mappings
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by Yûsuke Okuyama and Pekka Pankka

Proc. Amer. Math. Soc. 143 (2015), 2043-2050

DOI: https://doi.org/10.1090/S0002-9939-2014-12378-1

Published electronically: December 3, 2014

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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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