Spectral Flexibility of Symplectic Manifolds T^2 x M
| dc.creator | Mangoubi, Dan | |
| dc.date | 2005-08-07 | |
| dc.date | 2007-10-11 | |
| dc.date.accessioned | 2026-07-07T09:21:48Z | |
| dc.date.available | 2026-07-07T09:21:48Z | |
| dc.description | We consider Riemannian metrics compatible with the natural symplectic structure on T^2 x M, where T^2 is a symplectic 2-Torus and M is a closed symplectic manifold. To each such metric we attach the corresponding Laplacian and consider its first positive eigenvalue λ_1. We show that λ_1 can be made arbitrarily large by deforming the metric structure, keeping the symplectic structure fixed. The conjecture is that the same is true for any symplectic manifold of dimension >= 4. We reduce the general conjecture to a purely symplectic question. | |
| dc.description | 15 Pages; introduction revised; to appear in Math. Ann | |
| dc.identifier | https://arxiv.org/abs/math/0508128 | |
| dc.identifier | http://arxiv.org/abs/math/0508128 | |
| dc.identifier | Math. Ann. 341 (2008), no. 1, 1--13 | |
| dc.identifier | doi:10.1007/s00208-007-0178-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155155 | |
| dc.subject | Spectral Theory | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 35P15; 53D05; 53C17 | |
| dc.title | Spectral Flexibility of Symplectic Manifolds T^2 x M | |
| dc.type | text |