Embedded minimal disks with prescribed curvature blowup
| dc.creator | Dean, Brian | |
| dc.date | 2004-08-05 | |
| dc.date.accessioned | 2026-07-07T05:11:04Z | |
| dc.date.available | 2026-07-07T05:11:04Z | |
| dc.description | We construct a sequence of compact embedded minimal disks in a ball in Euclidean 3-space, whose boundaries lie in the boundary of the ball, such that the curvature blows up only at a prescribed discrete (and hence, finite) set of points on the x_3-axis. This extends a result of Colding and Minicozzi, who constructed a sequence for which the curvature blows up only at the center of the ball, and is a partial affirmative answer to the larger question of the existence of a sequence for which the curvature blows up precisely on a prescribed closed set on the x_3-axis. | |
| dc.description | 10 pages, 0 figures, preprint | |
| dc.identifier | https://arxiv.org/abs/math/0408079 | |
| dc.identifier | http://arxiv.org/abs/math/0408079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72121 | |
| dc.subject | Differential Geometry | |
| dc.subject | Primary 53C42; Secondary 53A10, 57R40 | |
| dc.title | Embedded minimal disks with prescribed curvature blowup | |
| dc.type | text |