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math.DG2021
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 , with a torsion-free Fuchsi…
math.DG2018★ 1 cited
On Infinitely generated Fuchsian groups of some infinite genus surfaces
John A. Arredondo, Camilo Ramírez Maluendas
In this paper, for a non compact and orientable surface been either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we construct explicitly an in…
math.DG2018
Geometric Schotkky groups and non compact hyperbolic surface with infinite genus
John A. Arredondo, Camilo Ramírez Maluendas
The topological type of a non-compact Riemann surface is determined by its ends space and the ends having infinite genus. In this paper for a non-compact Riemann Surface …