Towards a classification of CMC-1 Trinoids in hyperbolic space via conjugate surfaces
| dc.creator | Balser, Andreas | |
| dc.date | 2003-10-24 | |
| dc.date | 2004-10-01 | |
| dc.date.accessioned | 2026-07-07T05:02:14Z | |
| dc.date.available | 2026-07-07T05:02:14Z | |
| dc.description | We derive necessary conditions on the parameters of the ends of a CMC-1 trinoid in hyperbolic 3-space $H^{3}$ with symmetry plane by passing to its conjugate minimal surface. Together with Daniel's results, this yields a classification of generic symmetric trinoids. We also discuss the relation to other classification results of trinoids by Bobenko et al. and Umehara-Yamada. To obtain the result above, we show that the conjugate minimal surface of a catenoidal CMC-1 end in $H^{3}$ with symmetry plane is asymptotic to a suitable helicoid. | |
| dc.description | 14 pages, 1 figure; presentation improved and shortened | |
| dc.identifier | https://arxiv.org/abs/math/0310397 | |
| dc.identifier | http://arxiv.org/abs/math/0310397 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68978 | |
| dc.subject | Differential Geometry | |
| dc.subject | ### 53A10 ### 53C42 | |
| dc.title | Towards a classification of CMC-1 Trinoids in hyperbolic space via conjugate surfaces | |
| dc.type | text |