2 citations · 3 across the 3 of their papers we have counts for
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Quasiconformal mappings in the hyperbolic Heisenberg group and a lifting theorem
Ioannis D. Platis
A study of smooth contact quasiconformal mappings of the hyperbolic Heisenberg group is presented in this paper. Our main result is a Lifting Theorem; according to this, a symplect…
The configuration space of equidistant triples in the Heisenberg group
Ioannis D. Platis
We prove that the configuration space of equidistant triples on the Heisenberg group equipped with the Korányi metric, is isomorphic to a hypersurface of .
Cross ratios and the Ptolemaean inequality in boundaries of symmetric spaces of rank 1
Ioannis D. Platis
We use generalised cross--ratios to prove the Ptolemaean inequality and the Theorem of Ptolemaeus in the setting of the boundary of symmetric Riemannian spaces of rank 1 and of neg…
Complex cross--ratios and the Ptolemaean inequality
Ioannis D. Platis
We use Korányi--Reimann complex cross--ratios to prove the Ptolemaean inequality and the Theorem of Ptolemaeus in the setting of the boundary of complex hyperbolic space and the fi…