Existence of proper minimal surfaces of arbitrary topological type
| dc.creator | Ferrer, Leonor | |
| dc.creator | Martin, Francisco | |
| dc.creator | Meeks III, William H. | |
| dc.date | 2009-03-24 | |
| dc.date.accessioned | 2026-07-07T12:56:19Z | |
| dc.date.available | 2026-07-07T12:56:19Z | |
| dc.description | Consider a domain D in R^3 which is convex (possibly all R^3) or which is smooth and bounded. Given any open surface M, we prove that there exists a complete, proper minimal immersion f : M --> D. Moreover, if D is smooth and bounded, then we prove that the immersion f : M --> D can be chosen so that the limit sets of distinct ends of M are disjoint connected compact sets in the boundary of D. | |
| dc.description | 33 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/0903.4194 | |
| dc.identifier | http://arxiv.org/abs/0903.4194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224542 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10; 49Q05 | |
| dc.title | Existence of proper minimal surfaces of arbitrary topological type | |
| dc.type | text |