On the number of optimal surfaces
| dc.creator | Vdovina, Alina | |
| dc.date | 2009-04-12 | |
| dc.date.accessioned | 2026-07-07T13:03:21Z | |
| dc.date.available | 2026-07-07T13:03:21Z | |
| dc.description | Let X be a closed oriented Riemann surface of genus > 1 of constant negative curvature -1. A surface containing a disk of maximal radius is an optimal surface. This paper gives exact formulae for the number of optimal surfaces of genus > 3 up to orientation-preserving isometry. We show that the automorphism group of such a surface is always cyclic of order 1,2,3 or 6. We also describe a combinatorial structure of nonorientable hyperbolic optimal surfaces. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 29 April 2008 | |
| dc.identifier | https://arxiv.org/abs/0904.1877 | |
| dc.identifier | http://arxiv.org/abs/0904.1877 | |
| dc.identifier | Geom. Topol. Monogr. 14 (2008) 557-567 | |
| dc.identifier | doi:10.2140/gtm.2008.14.557 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226770 | |
| dc.subject | Geometric Topology | |
| dc.subject | Metric Geometry | |
| dc.subject | 53C20, 20H10, 53C40 | |
| dc.title | On the number of optimal surfaces | |
| dc.type | text |