Surfaces with central cross-sections
| dc.creator | Solomon, Bruce | |
| dc.date | 2009-04-22 | |
| dc.date | 2009-04-23 | |
| dc.date.accessioned | 2026-07-07T13:07:19Z | |
| dc.date.available | 2026-07-07T13:07:19Z | |
| dc.description | A surface S in R^3 has the central plane oval property (cpo) if (i) S meets at least one affine plane transversally along a strictly convex oval, and (ii) Every such transverse oval on S has central symmetry. We show that a complete, connected C^2 surface with cpo must be either a generalized cylinder, or quadric. Applying this, we deduce that a complete C^2 surface containing a transverse plane oval but no skewloop, must be a cylinder or a quadric. | |
| dc.description | 35 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0904.3493 | |
| dc.identifier | http://arxiv.org/abs/0904.3493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228050 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A05; 53A15 | |
| dc.title | Surfaces with central cross-sections | |
| dc.type | text |