7 papers
On the fiber product over infinite-genus Riemann surfaces
John A. Arredondo, Saúl Quispe, Camilo Ramírez Maluendas
Considering non-constant holomorphic maps , , between non-compact Riemann surfaces for which it is associated its fiber product $S_{1}\times_{(β_…
Periodic oscillations in a 2N-body problem
Oscar Perdomo, Andrés Rivera, John A. Arredondo +1
Hip-Hop solutions of the -body problem are solutions that satisfy at every instance of time, that the bodies with the same mass , are at the vertices of two regular …
Symmetry Type Graphs on 4-Orbit maps
John A. Arredondo, Camilo Ramírez Maluendas, Luz Edith Santos Guerrero
It is well known that there exist twenty two symmetry type graphs associated to 4-orbit maps. For this ones we give the feasible values taken by the degree of the vertices and the…
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…
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 …
On the Infinite Loch Ness monster
John A. Arredondo, Camilo Ramírez Maluendas
In this paper we present in a topological way the construction of the orientable surface with only one end and infinite genus, called \emph{The Infinite Loch Ness Monster}. In fact…