Jorge Hidalgo

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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…

Holomorphic null curves in the special linear group

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

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