Mappings of finite distortion from generalized manifolds

Kirsilä, Ville

doi:10.1090/S1088-4173-2014-00272-0

Mappings of finite distortion from generalized manifolds
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by Ville Kirsilä

Conform. Geom. Dyn. 18 (2014), 229-262

DOI: https://doi.org/10.1090/S1088-4173-2014-00272-0

Published electronically: November 17, 2014

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Abstract:

We give a definition for mappings of finite distortion from a generalized manifold with controlled geometry to a Euclidean space. We prove that the basic properties of mappings of finite distortion are valid in this context. In particular, we show that under the same assumptions as in the Euclidean case, mappings of finite distortion are open and discrete.

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