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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Mappings of finite distortion from generalized manifolds
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by Ville Kirsilä PDF
Conform. Geom. Dyn. 18 (2014), 229-262 Request permission

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.
References
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Additional Information
  • Ville Kirsilä
  • Affiliation: Department of Mathematics and Statistics (P.O. Box 35 (MaD)), FI-40014 University of Jyväskylä, Finland
  • Email: ville.kirsila@jyu.fi
  • Received by editor(s): June 26, 2014
  • Received by editor(s) in revised form: October 13, 2014
  • Published electronically: November 17, 2014
  • Additional Notes: The author was financially supported by the Finnish National Doctoral Programme in Mathematics and its Applications and by the Academy of Finland, project 257482.
  • © Copyright 2014 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 18 (2014), 229-262
  • MSC (2010): Primary 30C65; Secondary 30L10
  • DOI: https://doi.org/10.1090/S1088-4173-2014-00272-0
  • MathSciNet review: 3278159