Complete minimal surfaces densely lying in arbitrary domains of ${\mathbb{R}}^n$

Antonio Alarcon, Ildefonso Castro-Infantes

In this paper we prove that, given an open Riemann surface $M$ and an integer $n\ge 3$, the set of complete conformal minimal immersions $M\to {\mathbb{R}}^n$ with $\overline{X(M)}=\m…