Connection with torsion, parallel spinors and geometry of Spin(7) manifolds
| dc.creator | Ivanov, Stefan | |
| dc.date | 2001-11-20 | |
| dc.date | 2004-04-26 | |
| dc.date.accessioned | 2026-07-07T04:44:41Z | |
| dc.date.available | 2026-07-07T04:44:41Z | |
| dc.description | We show that on every Spin(7) manifold there always exists a unique linear connection with totally skew-symmetric torsion preserving a nontrivial spinor and the Spin(7) structure. We express its torsion and the Riemannian scalar curvature in terms of the fundamental 4-form. We present an explicit formula for the Riemannian covariant derivative of the fundamental 4-form in terms of its exterior differential. We show the vanishing of the (\hat)-A genus and obtain a linear relation between Betti numbers of a compact Spin(7) manifolds which are locally but not globally conformally equivalent to a space with closed fundamental 4-form. A general solution to the Killing spinor equations is presented | |
| dc.description | LaTeX, 15 pages, references added, some typos corrected, final version to appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/math/0111216 | |
| dc.identifier | http://arxiv.org/abs/math/0111216 | |
| dc.identifier | Math. Res. Lett. 11 (2004), no. 2-3, 171--186. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62690 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 53C25 | |
| dc.title | Connection with torsion, parallel spinors and geometry of Spin(7) manifolds | |
| dc.type | text |