On the existence of a proper minimal surface in \(\mathbb R^3\) with a conformal type of disk (Q1430513)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of a proper minimal surface in \(\mathbb R^3\) with a conformal type of disk |
scientific article |
Statements
On the existence of a proper minimal surface in \(\mathbb R^3\) with a conformal type of disk (English)
0 references
27 May 2004
0 references
The author proves the existence of a conformal proper minimal immersion of the open unit disk into \(\mathbb{R}^3\). He obtains in this way a counterexample to a conjecture of Meeks and Sullivan. The procedure for the construction is quite intricate, but presented with careful attention to detail.
0 references
conformal proper minimal immersion
0 references
open unit disk
0 references
