Fano Manifolds, Contact Structures, and Quaternionic Geometry
| dc.creator | LeBrun, Claude | |
| dc.date | 1994-09-09 | |
| dc.date.accessioned | 2026-07-07T09:12:25Z | |
| dc.date.available | 2026-07-07T09:12:25Z | |
| dc.description | Let Z be a compact complex (2n+1)-manifold which carries a {\em complex contact structure}, meaning a codimension-1 holomorphic sub-bundle D of TZ which is maximally non-integrable. If Z admits a Kähler-Einstein metric of positive scalar curvature, we show that it is the Salamon twistor space of a quaternion-Kähler manifold (M^{4n}, g). If Z also admits a second complex contact structure, then Z= CP_{2n+1}. As an application, we give several new characterizations of the Riemannian manifold HP_n=Sp(n+1)/( Sp(n)\times Sp(1)). | |
| dc.description | 21 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9409001 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9409001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152014 | |
| dc.subject | Differential Geometry | |
| dc.title | Fano Manifolds, Contact Structures, and Quaternionic Geometry | |
| dc.type | text |