Compact Embedded Minimal Surfaces of Positive Genus Without Area Bounds
| dc.creator | Dean, Brian | |
| dc.date | 2003-08-22 | |
| dc.date.accessioned | 2026-07-07T05:00:34Z | |
| dc.date.available | 2026-07-07T05:00:34Z | |
| dc.description | Let M be a 3-manifold (possibly with boundary). We show that, for any positive integer g, there exists an open nonempty set of metrics on M for each of which there are stable compact embedded minimal surfaces of genus g with arbitrarily large area. This extends the result of Colding and Minicozzi for g=1. | |
| dc.description | 8 pages, 2 figures, to appear in Geomitrae Dedicata | |
| dc.identifier | https://arxiv.org/abs/math/0308215 | |
| dc.identifier | http://arxiv.org/abs/math/0308215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68367 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 (Primary) 53C42 (Secondary) | |
| dc.title | Compact Embedded Minimal Surfaces of Positive Genus Without Area Bounds | |
| dc.type | text |