Parabolicity of zero-twist tight flute surfaces and uniformization of the Loch Ness monster

John A. Arredondo, Israel Morales, Camilo Ramírez Maluendas

We study the zero-twist flute surface and we associate to each one of them a sequence of positive real numbers $\mathbf{x}=(x_n{)}_{n\in {\mathbb{N}}_0}$, with a torsion-free Fuchsi…