Rescaling principle for isolated essential singularities of quasiregular mappings

Yûsuke Okuyama, Pekka Pankka
2014 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-2014-12378-1 fatcat:hf7ic3m3mjezlctw62toqmnxza