Modulus of surface families and the radial stretch in the Heisenberg group
arXiv:1310.4292 · doi:10.1017/S0305004116000451
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.
arXiv comment24 pages, typos corrected