SU(3)-structures on hypersurfaces of manifolds with G_2-structure
| dc.creator | Cabrera, Francisco Martin | |
| dc.date | 2004-10-28 | |
| dc.date | 2005-07-22 | |
| dc.date.accessioned | 2026-07-07T05:13:46Z | |
| dc.date.available | 2026-07-07T05:13:46Z | |
| dc.description | We study SU(3)-structures induced on orientable hypersurfaces of seven-dimensional manifolds with G_2-structure. Taking Gray-Hervella types for both structures into account, we relate the type of SU(3)-structure and the type of G_2-structure with the shape tensor of the hypersurface. Additionaly, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G_2-torsion by means of exterior algebra. | |
| dc.description | 30 pages, v6: some minor changes of notation for a clearer exposition | |
| dc.identifier | https://arxiv.org/abs/math/0410610 | |
| dc.identifier | http://arxiv.org/abs/math/0410610 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73038 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C15; 53C10 | |
| dc.title | SU(3)-structures on hypersurfaces of manifolds with G_2-structure | |
| dc.type | text |