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

17 Oct 2015  ·  Platis Ioannis D. ·

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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Complex Variables