Spinor equations in Weyl geometry
| dc.creator | Buchholz, Volker | |
| dc.date | 1999-01-27 | |
| dc.date | 1999-12-14 | |
| dc.date.accessioned | 2026-07-07T05:27:40Z | |
| dc.date.available | 2026-07-07T05:27:40Z | |
| dc.description | In this paper, the Dirac, twistor and Killing equations on Weyl manifolds with CSpin structures are investigated. A conformal Schr"odinger-Lichnerowicz formula is presented and used to show integrability conditions for these equations. By introducing the Killing equation for spinors of arbitrary weight, the result of Andrei Moroianu in [9] is generalized in the following sense. The only non-closed Weyl manifolds of dimension greater than 3 that admit solutions of the real Killing equation are 4-dimensional and non-compact. Any Weyl manifold of these dimensions admitting a real Killing spinor has to be Einstein-Weyl. | |
| dc.description | Latex2.09, 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/9901125 | |
| dc.identifier | http://arxiv.org/abs/math/9901125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78008 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C05;53C10;53A30 | |
| dc.title | Spinor equations in Weyl geometry | |
| dc.type | text |