Jorge Hidalgo

activity

20182025

most citedGraphs of Maximal Energy with Fixed Maximal Degree

1 citations · 1 across the 2 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2025

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 $SL_{2} (C)$ . In particular, we establish Runge, Mergelyan,…

math.DG2024

$CMC - 1$ surfaces in hyperbolic and de Sitter spaces with Cantor ends

Ildefonso Castro-Infantes, Jorge Hidalgo

We prove that on every compact Riemann surface $M$ there is a Cantor set $C \subset M$ such that $M ∖ C$ admits a proper conformal constant mean curvature one ($\mathrm{CMC…

math.DG2023

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 $M$ is the complex structure of a complete surface of constant mean curvature 1 (CMC-1) in the 3-dimensional hyperbolic space $\mathbb{H}^3…

Holomorphic null curves in the special linear group

CMC-1 surfaces in hyperbolic and de Sitter spaces with Cantor ends

Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structure

$CMC - 1$ surfaces in hyperbolic and de Sitter spaces with Cantor ends