3 citations · 5 across the 6 of their papers we have counts for
6 papers
Holomorphic null curves in the special linear group
Antonio Alarcon, Jorge Hidalgo
In this paper we develop the theory of approximation for holomorphic null curves in the special linear group . In particular, we establish Runge, Mergelyan,…
surfaces in hyperbolic and de Sitter spaces with Cantor ends
Ildefonso Castro-Infantes, Jorge Hidalgo
We prove that on every compact Riemann surface there is a Cantor set such that admits a proper conformal constant mean curvature one ($\mathrm{CMC…
Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structure
Antonio Alarcon, Ildefonso Castro-Infantes, Jorge Hidalgo
We prove that every open Riemann surface is the complex structure of a complete surface of constant mean curvature 1 (CMC-1) in the 3-dimensional hyperbolic space $\mathbb{H}^3…
A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds
Erlend Grong, Jorge Hidalgo, Sylvie Vega-Molino
We obtain a sub-Riemannian version of the classical Gauss-Bonnet theorem. We consider subsurfaces of a three dimensional contact sub-Riemannian manifolds, and using a family of tam…
Graphs of Maximal Energy with Fixed Maximal Degree
Octavio Arizmendi, Jorge Fernandez Hidalgo
We give a bound for the graph energy with given maximal degree in terms of the second and fourth moments of a graph. In the case in which the graph is -regular we obtain the bou…
Energy of a Vertex
Octavio Arizmendi, Jorge Fernandez Hidalgo, Oliver Juarez-Romero
In this paper we develop the concept of energy of a vertex introduced in Arizmendi and Juarez-Romero (2016). We derive basic inequalities, continuity properties, give examples and…