Carleman approximation by conformal minimal immersions and directed holomorphic curves

Ildefonso Castro-Infantes, Brett Chenoweth

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