Ildefonso Castro-Infantes

activity

20182020

collaborators

4 papers

math.DG2020

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:…

math.DG2019

Interpolation by complete minimal surfaces whose Gauss map misses two points

Ildefonso Castro-Infantes

Let $M$ be an open Riemann surface and let $Λ \subset M$ be a closed discrete subset. In this paper, we prove the existence of complete conformal minimal immersions $M\to\mathbb{R}^…

math.DG2019

Carleman approximation by conformal minimal immersions and directed holomorphic curves

Ildefonso Castro-Infantes, Brett Chenoweth

Let $R$ be an open Riemann surface. In this paper we prove that every continuous function $M \to R^{n}$ , $n \geq 3$ , defined on a divergent Jordan arc $M \subset \ma…

math.DG2018

Curves in Lorentz-Minkowski plane with curvature depending on their position

Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes

Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propou…