24 citations · 34 across the 2 of their papers we have counts for
3 papers
math.GM2004★ 10 cited
Complete proper minimal surfaces in convex bodies of
Francisco Martin, Santiago Morales
Consider a convex domain B of space. We prove that there exist complete minimal surfaces which are properly immersed in B. We also demonstrate that if D and D' are convex domains w…
math.DG2003★ 24 cited
On the existence of a proper minimal surface in with the conformal type of a disk
Santiago Morales
The main goal of this paper is to show a counterexample to the following conjecture: {\bf Conjecture} [Meeks, Sullivan]: If is a complete proper minimal immer…
math.DG2000
A complete bounded minimal cylinder in R^3
Francisco Martin, Santiago Morales
In 1996, Nadirashvili used Runge's theorem to produce a complete minimal disc inside a ball in R^3. In this paper we generalize the techniques used by Nadirashvili to obtain new ex…