Spectral and geometric bounds on 2-orbifold diffeomorphism type
| dc.creator | Proctor, Emily | |
| dc.creator | Stanhope, Elizabeth | |
| dc.date | 2008-11-05 | |
| dc.date | 2009-01-23 | |
| dc.date.accessioned | 2026-07-07T12:32:46Z | |
| dc.date.available | 2026-07-07T12:32:46Z | |
| dc.description | We show that a Laplace isospectral family of two dimensional Riemannian orbifolds, sharing a lower bound on sectional curvature, contains orbifolds of only a finite number of orbifold category diffeomorphism types. We also show that orbifolds of only finitely many orbifold diffeomorphism types may arise in any collection of 2-orbifolds satisfying lower bounds on sectional curvature and volume, and an upper bound on diameter. An argument converting spectral data to geometric bounds shows that the first result is a consequence of the second. | |
| dc.description | Exposition clarified, typographical errors corrected | |
| dc.identifier | https://arxiv.org/abs/0811.0797 | |
| dc.identifier | http://arxiv.org/abs/0811.0797 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216894 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J53; 53C20 | |
| dc.title | Spectral and geometric bounds on 2-orbifold diffeomorphism type | |
| dc.type | text |