A remark on conformal $\SU(p,q)$-holonomy
| dc.creator | Leitner, Felipe | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T07:11:02Z | |
| dc.date.available | 2026-07-07T07:11:02Z | |
| dc.description | If the conformal holonomy group $Hol(\mathcal{T})$ of a simply connected space with conformal structure of signature $(2p-1,2q-1)$ is reduced to $\U(p,q)$ then the conformal holonomy is already contained in the special unitary group $\SU(p,q)$. We present two different proofs of this statement, one using conformal tractor calculus and an alternative proof using Sparling's characterisation of Fefferman metrics. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604393 | |
| dc.identifier | http://arxiv.org/abs/math/0604393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111608 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A30, 53C29; 32V05; 53B30; 53C07 | |
| dc.title | A remark on conformal $\SU(p,q)$-holonomy | |
| dc.type | text |