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Modulus of surface families and the radial stretch in the Heisenberg group
Published online by Cambridge University Press: 26 May 2016
Abstract
We develop a modulus method for surface families inside a domain in the Heisenberg group and we prove that the stretch map between two Heisenberg spherical rings is a minimiser for the mean distortion among the class of contact quasiconformal maps between these rings which satisfy certain boundary conditions.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 162 , Issue 1 , January 2017 , pp. 13 - 37
- Copyright
- Copyright © Cambridge Philosophical Society 2016