S. Morales

activity

20002026

most citedOn the existence of a proper minimal surface in

R^{3}

with the conformal type of a disk

24 citations · 36 across the 6 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2005★ 2 cited

Complete proper minimal surfaces in convex bodies of $R^{3}$ (II): The behavior of the limit set

Francisco Martin, Santiago Morales

Let $D$ be a regular strictly convex bounded domain of $R^{3}$ , and consider a regular Jordan curve $Γ \subset \partial D$ . Then, for each $ε > 0$ , we obtain the existence of a…

math.DG2003★ 24 cited

On the existence of a proper minimal surface in $R^{3}$ 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 $f : M \to R^{3}$ 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…

Complete proper minimal surfaces in convex bodies of R3 (II): The behavior of the limit set

On the existence of a proper minimal surface in R3 with the conformal type of a disk

A complete bounded minimal cylinder in R^3

Complete proper minimal surfaces in convex bodies of $R^{3}$ (II): The behavior of the limit set

On the existence of a proper minimal surface in $R^{3}$ with the conformal type of a disk