Flux for Bryant surfaces and applications to embedded ends of finite total curvature
| dc.creator | Daniel, Benoit | |
| dc.date | 2003-03-25 | |
| dc.date.accessioned | 2026-07-07T04:56:21Z | |
| dc.date.available | 2026-07-07T04:56:21Z | |
| dc.description | We compute the flux of Killing fields through ends of constant mean curvature 1 in hyperbolic space, and we prove a result conjectured by Rossman, Umehara and Yamada : the flux matrix they have defined is equivalent to the flux of Killing fields. We next give a geometric description of embedded ends of finite total curvature. In particular, we show that we can define an axis for these ends that are asymptotic to a catenoid cousin. We also compute the flux of Killing fields through these ends, and we deduce some geometric properties and some analogies with minimal surfaces in Euclidean space. | |
| dc.description | 31 pages, 1 figure, submitted to Illinois Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0303307 | |
| dc.identifier | http://arxiv.org/abs/math/0303307 | |
| dc.identifier | Illinois J. Math. 47 (3), 2003, 667-698 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66891 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 (Primary) 53A35, 53C42, 30F45 (Secondary) | |
| dc.title | Flux for Bryant surfaces and applications to embedded ends of finite total curvature | |
| dc.type | text |