On the existence of a proper minimal surface in $R^3$ with the conformal type of a disk
| dc.creator | Morales, Santiago | |
| dc.date | 2003-01-13 | |
| dc.date.accessioned | 2026-07-07T04:54:26Z | |
| dc.date.available | 2026-07-07T04:54:26Z | |
| dc.description | The main goal of this paper is to show a counterexample to the following conjecture: {\bf Conjecture} [Meeks, Sullivan]: If $f:M\to \mathbb{R}^3$ is a complete proper minimal immersion where $M$ is a Riemannian surface without boundary and with finite genus, then $M$ is parabolic. We have proved: {\bf Theorem:} There exists $χ: D\longrightarrow \mathbb{R}^3$, a conformal proper minimal immersion defined on the unit disk. | |
| dc.description | 23 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0301132 | |
| dc.identifier | http://arxiv.org/abs/math/0301132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66248 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 | |
| dc.title | On the existence of a proper minimal surface in $R^3$ with the conformal type of a disk | |
| dc.type | text |