Generalised Surfaces in ${\Bbb{R}}^3$
| dc.creator | Guilfoyle, Brendan | |
| dc.creator | Klingenberg, Wilhelm | |
| dc.date | 2004-06-09 | |
| dc.date.accessioned | 2026-07-07T10:19:15Z | |
| dc.date.available | 2026-07-07T10:19:15Z | |
| dc.description | The correspondence between 2-parameter families of oriented lines in ${\Bbb{R}}^3$ and surfaces in $T{\Bbb{P}}^1$ is studied, and the geometric properties of the lines are related to the complex geometry of the surface. Congruences generated by global sections of $T{\Bbb{P}}^1$ are investigated and a number of theorems are proven that generalise results for closed convex surfaces in ${\Bbb{R}}^3$. | |
| dc.description | 10 pages, AMS-TEX | |
| dc.identifier | https://arxiv.org/abs/math/0406185 | |
| dc.identifier | http://arxiv.org/abs/math/0406185 | |
| dc.identifier | Math. Proc. R. Ir. Acad. 104A(2) (2004) 199-209. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174442 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C28 | |
| dc.title | Generalised Surfaces in ${\Bbb{R}}^3$ | |
| dc.type | text |