Sp(n)U(1)-connections with parallel totally skew-symmetric torsion
| dc.creator | Alexandrov, Bogdan | |
| dc.date | 2003-11-14 | |
| dc.date | 2004-07-08 | |
| dc.date.accessioned | 2026-07-07T05:02:55Z | |
| dc.date.available | 2026-07-07T05:02:55Z | |
| dc.description | We consider the unique Hermitian connection with totally skew-symmetric torsion on a Hermitian manifold. We prove that if the torsion is parallel and the holonomy is Sp(n)U(1), considered as a subgroup of U(2n) x U(1), then the manifold is locally isomorphic to the twistor space of a quaternionic Kaehler manifold with positive scalar curvature. If the manifold is complete, then it is globally isomorphic to such a twistor space. | |
| dc.description | 24 pages; some inessential changes | |
| dc.identifier | https://arxiv.org/abs/math/0311248 | |
| dc.identifier | http://arxiv.org/abs/math/0311248 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69202 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B05; 53B35; 53C26; 53C55 | |
| dc.title | Sp(n)U(1)-connections with parallel totally skew-symmetric torsion | |
| dc.type | text |