Genus-One Helicoids from a Variational Point of View
| dc.creator | Hoffman, David | |
| dc.creator | White, Brian | |
| dc.date | 2006-10-20 | |
| dc.date | 2008-07-20 | |
| dc.date.accessioned | 2026-07-07T13:15:08Z | |
| dc.date.available | 2026-07-07T13:15:08Z | |
| dc.description | We prove by variational means the existence of a complete, properly embedded, genus-one minimal surface in R^3 that is asymptotic to a helicoid at infinity. We also prove existence of surfaces that are asymptotic to a helicoid away from the helicoid's axis, but that have infinitely many handles arranged periodically along the axis. Finally, we prove some new properties of such helicoid-like surfaces. | |
| dc.description | 36 pages, 5 figures. Revised version: typos corrected, references added, proof of Thm 6.1 made more self-contained, several paragraphs added to the proof of Theorem 6.2 | |
| dc.identifier | https://arxiv.org/abs/math/0610630 | |
| dc.identifier | http://arxiv.org/abs/math/0610630 | |
| dc.identifier | Comment. Math. Helv. 83 (2008), no. 4, 767-813 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230391 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10; 49Q05 | |
| dc.title | Genus-One Helicoids from a Variational Point of View | |
| dc.type | text |