Quaternionic contact structures in dimension 7
| dc.creator | Duchemin, David | |
| dc.date | 2003-11-25 | |
| dc.date.accessioned | 2026-07-07T05:03:14Z | |
| dc.date.available | 2026-07-07T05:03:14Z | |
| dc.description | The conformal infinity of a quaternionic-Kahler metric on a 4n-manifold with boundary is a codimension 3-distribution on the boundary called quaternionic contact. In dimensions 4n-1 greater than 7, a quaternionic contact structure is always the conformal infinity of a quaternionic-Kahler metric. On the contrary, in dimension 7, we prove a criterion for quaternionic contact structures to be the conformal infinity of a quaternionic- Kahler metric. This allows us to find the quaternionic-contact structures on the 7-sphere close to the conformal infinity of the quaternionic hyperbolic metric and which are the boundaries of complete quaternionic-Kahler metrics on the 8-ball. Finally, we construct a 25-parameter family of Sp(1)-invariant complete quaternionic-Kahler metrics on the 8-ball together with the 25-parameter family of their boundaries. | |
| dc.identifier | https://arxiv.org/abs/math/0311436 | |
| dc.identifier | http://arxiv.org/abs/math/0311436 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69335 | |
| dc.subject | Differential Geometry | |
| dc.title | Quaternionic contact structures in dimension 7 | |
| dc.type | text |