Rescaling principle for isolated essential singularities of quasiregular mappings
Okuyama, Y., & Pankka, P. (2015). Rescaling principle for isolated essential singularities of quasiregular mappings. Proceedings of the American Mathematical Society, 143(5), 2043-2050. https://doi.org/10.1090/S0002-9939-2014-12378-1
Julkaistu sarjassa
Proceedings of the American Mathematical SocietyPäivämäärä
2015Tekijänoikeudet
© 2014 American Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by AMC. Published in this repository with the kind permission of the publisher.
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.
Julkaisija
American Mathematical SocietyISSN Hae Julkaisufoorumista
0002-9939Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/24593110
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