19 citations · 133 across the 26 of their papers we have counts for
31 papers
Complete non-orientable minimal surfaces of finite total curvature: Approximation and interpolation
Antonio Alarcon, Francisco J. Lopez
In this paper, we prove a uniform approximation theorem with interpolation for complete non-orientable minimal surfaces of finite total curvature in the Euclidean space $\mathbb{R}…
Erratum to "Interpolation and optimal hitting for complete minimal surfaces with finite total curvature"
Antonio Alarcon, Ildefonso Castro-Infantes, Francisco J. Lopez
We correct a mistake in the paper with the mentioned title and reference: Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. It corresponds with the preprint arXiv:…
Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces
Antonio Alarcon, Francisco J. Lopez
In this paper, we prove a uniform approximation theorem with interpolation for complete conformal minimal surfaces with finite total curvature in the Euclidean space …
Interpolation and optimal hitting for complete minimal surfaces with finite total curvature
Antonio Alarcon, Ildefonso Castro-Infantes, Francisco J. Lopez
We prove that, given a compact Riemann surface and disjoint finite sets and , every map extends to a complete conform…
Holomorphic Legendrian curves
Antonio Alarcon, Franc Forstneric, Francisco J. Lopez
In this paper we study holomorphic Legendrian curves in the standard holomorphic contact structure on for any . We provide several approximation…
Every meromorphic function is the Gauss map of a conformal minimal surface
Antonio Alarcon, Franc Forstneric, Francisco J. Lopez
Let be an open Riemann surface. We prove that every meromorphic function on is the complex Gauss map of a conformal minimal immersion which may furthermo…