Coplanar constant mean curvature surfaces
| dc.creator | Grosse-Brauckmann, Karsten | |
| dc.creator | Kusner, Robert B. | |
| dc.creator | Sullivan, John M. | |
| dc.date | 2005-09-09 | |
| dc.date | 2007-12-05 | |
| dc.date.accessioned | 2026-07-07T08:47:19Z | |
| dc.date.available | 2026-07-07T08:47:19Z | |
| dc.description | We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors in arXiv:math.DG/0102183. Here we extend the arguments to the case of an arbitrary number of ends, under the assumption that the asymptotic axes of the ends lie in a common plane: we construct and classify the entire family of these genus-zero coplanar constant mean curvature surfaces. | |
| dc.description | 35 pages, 10 figures; minor revisions including one new figure; to appear in Comm. Anal. Geom | |
| dc.identifier | https://arxiv.org/abs/math/0509210 | |
| dc.identifier | http://arxiv.org/abs/math/0509210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143555 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 (Primary) 58D10, 53C42 (Secondary) | |
| dc.title | Coplanar constant mean curvature surfaces | |
| dc.type | text |