Minimal surfaces with genus zero
| dc.creator | Rodriguez, M. Magdalena | |
| dc.date | 2006-11-29 | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:33:29Z | |
| dc.date.available | 2026-07-07T07:33:29Z | |
| dc.description | A very interesting problem in the classical theory of minimal surfaces consists of the classification of such surfaces under some geometrical and topological constraints. In this short paper, we give a brief summary of the known classification results for properly embedded minimal surfaces with genus zero in $\mathbb{R}^3$ or quotients of $\mathbb{R}^3$ by one or two independent translations. This does not intend to be an exhaustive review of the tools or proofs in the field, but a simple explanation of the currently known results. | |
| dc.description | 8 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0611922 | |
| dc.identifier | http://arxiv.org/abs/math/0611922 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119476 | |
| dc.subject | Differential Geometry | |
| dc.subject | 49Q05, 53A10 | |
| dc.title | Minimal surfaces with genus zero | |
| dc.type | text |