On the number of extremal surfaces
| dc.creator | Vdovina, Alina | |
| dc.date | 2003-11-28 | |
| dc.date.accessioned | 2026-07-07T05:03:23Z | |
| dc.date.available | 2026-07-07T05:03:23Z | |
| dc.description | Let $X$ be a compact Riemann surface of genus $\geq 2$ of constant negative curvature -1. An extremal disk is an embedded (resp. covering) disk of maximal (resp. minimal) radius. A surface containing an extremal disk is an {\em extremal surface}. This paper gives formulas enumerating extremal surfaces of genus $\geq 4$ up to isometry. We show also that the isometry group of an extremal surface is always cyclic of order 1, 2, 3 or 6. | |
| dc.description | 14 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0311533 | |
| dc.identifier | http://arxiv.org/abs/math/0311533 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69397 | |
| dc.subject | Differential Geometry | |
| dc.title | On the number of extremal surfaces | |
| dc.type | text |