Generalized Killing spinors in dimension 5
| dc.creator | Conti, Diego | |
| dc.creator | Salamon, Simon | |
| dc.date | 2005-08-21 | |
| dc.date | 2006-06-29 | |
| dc.date.accessioned | 2026-07-07T08:29:13Z | |
| dc.date.available | 2026-07-07T08:29:13Z | |
| dc.description | We study the intrinsic geometry of hypersurfaces in Calabi-Yau manifolds of real dimension 6 and, more generally, SU(2)-structures on 5-manifolds defined by a generalized Killing spinor. We prove that in the real analytic case, such a 5-manifold can be isometrically embedded as a hypersurface in a Calabi-Yau manifold in a natural way. We classify nilmanifolds carrying invariant structures of this type, and present examples of the associated metrics with holonomy SU(3). | |
| dc.description | 30 pages. v2: corrected the statement and proof of Theorem 14; added a comment on the embedding property in the non-real-analytic case | |
| dc.identifier | https://arxiv.org/abs/math/0508375 | |
| dc.identifier | http://arxiv.org/abs/math/0508375 | |
| dc.identifier | Trans. Amer. Math. Soc. 359 (2007), no. 11, 5319-5343 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137893 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25 (Primary) 14J32, 53C29, 53C42, 58A15 (Secondary) | |
| dc.title | Generalized Killing spinors in dimension 5 | |
| dc.type | text |