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arXiv · 1310.4292

Modulus of surface families and the radial stretch in the Heisenberg group

Ioannis D. Platis
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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.

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Ioannis D. Platis. 2015-10-17. Modulus of surface families and the radial stretch in the Heisenberg group. https://doi.org/10.1017/s0305004116000451

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