Periodic Manifolds with Spectral Gaps
| dc.creator | Post, Olaf | |
| dc.date | 2002-07-14 | |
| dc.date.accessioned | 2026-07-07T04:29:18Z | |
| dc.date.available | 2026-07-07T04:29:18Z | |
| dc.description | We investigate spectral properties of the Laplace operator on a class of non-compact Riemannian manifolds. For a given number $N$ we construct periodic (i.e. covering) manifolds such that the essential spectrum of the corresponding Laplacian has at least $N$ open gaps. We use two different methods. First, we construct a periodic manifold starting from an infinite number of copies of a compact manifold, connected by small cylinders. In the second construction we begin with a periodic manifold which will be conformally deformed. In both constructions, a decoupling of the different period cells is responsible for the gaps. | |
| dc.description | 21 pages, 3 eps-figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math-ph/0207017 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0207017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57103 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.title | Periodic Manifolds with Spectral Gaps | |
| dc.type | text |