Conformal structures with explicit ambient metrics and conformal G_2 holonomy
| dc.creator | Nurowski, Pawel | |
| dc.date | 2007-01-30 | |
| dc.date | 2007-01-31 | |
| dc.date.accessioned | 2026-07-07T07:43:53Z | |
| dc.date.available | 2026-07-07T07:43:53Z | |
| dc.description | Given a generic 2-plane field on a 5-dimensional manifold we consider its (3,2)-signature conformal metric [g] as defined in math.DG/0406400. Every conformal class [g] obtained in this way has very special conformal holonomy: it must be contained in the split-real-form of the exceptional group G_2. In this note we show that for special 2-plane fields on 5-manifolds the conformal classes [g] have the Fefferman-Graham ambient metrics which, contrary to the general Fefferman-Graham metrics given as a formal power series, can be written in an explicit form. We propose to study the relations between the conformal G_2-holonomy of metrics [g] and the possible pseudo-Riemannian G_2-holonomy of the corresponding ambient metrics. | |
| dc.description | To appear in Proceedings of the Workshop at 2006 IMA Summer Program "Symmetries and Overdetermined Systems of Partial Differential Equations", Minneapolis, July 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0701891 | |
| dc.identifier | http://arxiv.org/abs/math/0701891 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122999 | |
| dc.subject | Differential Geometry | |
| dc.title | Conformal structures with explicit ambient metrics and conformal G_2 holonomy | |
| dc.type | text |