Hypercomplex manifolds with trivial canonical bundle and their holonomy
| dc.creator | Verbitsky, Misha | |
| dc.date | 2004-06-25 | |
| dc.date | 2007-01-12 | |
| dc.date.accessioned | 2026-07-07T09:39:55Z | |
| dc.date.available | 2026-07-07T09:39:55Z | |
| dc.description | Let (M,I,J,K) be a compact hypercomplex manifold admitting an HKT-metric. Assume that the canonical bundle of (M,I) is trivial as a holomorphic line bundle. We show that the holonomy of Obata connection on M is contained in SL(n,H). In Appendix we apply these arguments to compact nilmanifolds equipped with abelian hypercomplex structures, showing that such manifolds have holonomy in SL(n,H). | |
| dc.description | 14 pages, minor misprints corrected | |
| dc.identifier | https://arxiv.org/abs/math/0406537 | |
| dc.identifier | http://arxiv.org/abs/math/0406537 | |
| dc.identifier | Moscow Seminar on Mathematical Physics. II, 203--211, Amer. Math. Soc. Transl. Ser. 2, 221, 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161353 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hypercomplex manifolds with trivial canonical bundle and their holonomy | |
| dc.type | text |