Spin structures and spectra of $Z_2^k$-manifolds
| dc.creator | Miatello, Roberto | |
| dc.creator | Podesta, Ricardo | |
| dc.date | 2003-11-20 | |
| dc.date.accessioned | 2026-07-07T05:03:05Z | |
| dc.date.available | 2026-07-07T05:03:05Z | |
| dc.description | We give necessary and sufficient conditions for the existence of pin+, pin- and spin structures on Riemannian manifolds with holonomy group $Z_2^k$. For any n>3 (resp. n>5) we give examples of pairs of compact manifolds (resp. compact orientable manifolds) M_1, M_2, non homeomorphic to each other, that are Laplace isospectral on functions and on p-forms for any p and such that M_1 admits a pin+, or pin-, (resp. spin) structure whereas M_2 does not. | |
| dc.description | 15 pages. Accepted for publication in Math. Z | |
| dc.identifier | https://arxiv.org/abs/math/0311354 | |
| dc.identifier | http://arxiv.org/abs/math/0311354 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69273 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J53, 57R15 | |
| dc.title | Spin structures and spectra of $Z_2^k$-manifolds | |
| dc.type | text |