Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-Space
| dc.creator | Fujimori, Shoichi | |
| dc.date | 2004-08-03 | |
| dc.date | 2005-07-14 | |
| dc.date.accessioned | 2026-07-07T05:10:58Z | |
| dc.date.available | 2026-07-07T05:10:58Z | |
| dc.description | We show that an Osserman-type inequality holds for spacelike surfaces of constant mean curvature (CMC) 1 with singularities and with elliptic ends in de Sitter 3-space. An immersed end of a CMC 1 surface is an ``elliptic end'' if the monodromy representation at the end is diagonalizable with eigenvalues in the unit circle. We also give a necessary and sufficient condition for equality in the inequality to hold, and in the process of doing this we derive a condition for determining when elliptic ends are embedded. | |
| dc.description | 23 pages, 6 figures. v2: Section 3 added to give a criterion for embeddedness of elliptic ends. Corollary 5.8 added to show the existence of uncountably many CMC 1 faces from CMC 1 immersions in [MU]. New references added. v3: revision according to the referee's suggestions | |
| dc.identifier | https://arxiv.org/abs/math/0408036 | |
| dc.identifier | http://arxiv.org/abs/math/0408036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72093 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10; 53B30 | |
| dc.title | Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-Space | |
| dc.type | text |