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math.CV2025
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…
math.GR2025
Free and discrete subgroups generated by two quaternionic Heisenberg translations
Sagar B. Kalane, I. D. Platis
Let and be two Heisenberg translations of with distinct fixed points. We provide sufficient conditions that guarantee the subgroup i…