Spectral estimates on 2-tori
| dc.creator | Ammann, Bernd | |
| dc.date | 2001-01-08 | |
| dc.date.accessioned | 2026-07-07T04:39:34Z | |
| dc.date.available | 2026-07-07T04:39:34Z | |
| dc.description | We prove upper and lower bounds for the eigenvalues of the Dirac operator and the Laplace operator on 2-dimensional tori. In particluar we give a lower bound for the first eigenvalue of the Dirac operator for non-trivial spin structures. It is the only explicit estimate for eigenvalues of the Dirac operator known so far that uses information about the spin structure. As a corollary we obtain lower bounds for the Willmore functional of a torus embedded into S_3. In the final section we compare Dirac spectra for two different spin structures on an arbitrary Riemannian spin manifold. | |
| dc.description | uses pstricks package for figures | |
| dc.identifier | https://arxiv.org/abs/math/0101061 | |
| dc.identifier | http://arxiv.org/abs/math/0101061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60713 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 53C27, 58J50, 53C80 | |
| dc.title | Spectral estimates on 2-tori | |
| dc.type | text |