Open AccessQuasiregular mapping that preserves plane
Author(s) -
Duka Anila,
Ndriçim Sadikaj
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i9.131
Subject(s) - bijection , mathematics , connection (principal bundle) , generalization , plane (geometry) , pure mathematics , complex plane , work (physics) , mathematical analysis , geometry , discrete mathematics , physics , thermodynamics
Quasiregular mappings are a natural generalization of analytic functions to higher dimensions. Quasiregular mappings have many properties. Our work in this paper is to prove the following theorem: If f  a b is a quasiregular mapping which maps the plane onto the plane, then f is a bijection. We do this by finding the connection between quasiregular and quasiconformal mappings.