4 citations · 10 across the 25 of their papers we have counts for
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Extremality of hyperbolic spiral and stretch maps
Ioannis D. Platis
We prove extremality results concerning specific quasiconformal mappings in the hyperbolic plane, namely, hyperbolic spiral and stretch maps.
Strictly paired linear automorphisms of
Ioannis D. Platis
This paper investigates the algebraic and differential geometric properties of smooth mappings between domains in , classifying them according to the constant ranks o…
Modulus of elementary domains in the hyperbolic plane
Ioannis D. Platis
We study the modulus of curve families inside elementary domains in the hyperbolic plane $\bH^1_\C$. We establish exact expressions for the modulus of connecting and separating cur…
Modulus of surface families and the radial stretch in the Heisenberg group
Ioannis D. Platis
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…