Quasiregular mappings to generalized manifolds |
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Authors: | Jani Onninen Kai Rajala |
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Affiliation: | 1.Department of Mathematics,Syracuse University,Syracuse,USA;2.Department of Mathematics and Statistics,University of Jyv?skyl?,Jyv?skyl?,Finland |
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Abstract: | We establish the basic analytic and geometric properties of quasiregular maps f: ω → X, where ω ? ? n is a domain and X is a generalized n-manifold with a suitably controlled geometry. Generalizing the classical Väisälä and Poletsky inequalities, our main theorem shows that the path family method applies to these maps. |
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