Bas du spectre de surfaces hyperboliques de volume infini
| dc.creator | Tapie, Samuel | |
| dc.date | 2008-07-25 | |
| dc.date.accessioned | 2026-07-07T09:52:54Z | |
| dc.date.available | 2026-07-07T09:52:54Z | |
| dc.description | This article presents some methods to control the bottom of the spectrum of the Laplacian $λ_0$ on hyperbolic surfaces with infinite volume. Our first result bounds the $λ_0$ of a geometrically finite surface in terms of the geometry of its convex core. We then focus on infinite type periodic hyperbolic surfaces built by gluing copies of a geometrically finite surface with boundary according to the plan of an infinite graph. We control the $λ_0$ of the so-obtained infinite surfaces by constants coming from spectral properties of the building brick and combinatorial datae of the graph. We then use these methods to control the $λ_0$ of two other kind of infinite type hyperbolic surfaces : those admitting a splitting into bounded pieces, and some riemannian coverings. | |
| dc.identifier | https://arxiv.org/abs/0807.4068 | |
| dc.identifier | http://arxiv.org/abs/0807.4068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165761 | |
| dc.subject | Differential Geometry | |
| dc.title | Bas du spectre de surfaces hyperboliques de volume infini | |
| dc.type | text |