Quaternionic connections, induced holomorphic structures and a vanishing theorem
| dc.creator | David, Liana | |
| dc.date | 2006-06-28 | |
| dc.date | 2008-09-06 | |
| dc.date.accessioned | 2026-07-07T10:00:47Z | |
| dc.date.available | 2026-07-07T10:00:47Z | |
| dc.description | We classify the holomorphic structures of the tangent vertical bundle T of the twistor fibration of a quaternionic manifold (M,Q) of dimension bigger than four. In particular, we show that any self-dual quaternionic connection on (M, Q) induces an holomorphic structure on T. We prove that the positive tensor powers of T have no global holomorphic sections, when (M,Q) is compact and admits a compatible quaternionic-Kahler metric of negative (respectively, zero) scalar curvature and the holomorphic structure of T is induced by a closed (respectively, closed but not exact) quaternionic connection. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606715 | |
| dc.identifier | http://arxiv.org/abs/math/0606715 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168424 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C26, 53C28, 53C15 | |
| dc.title | Quaternionic connections, induced holomorphic structures and a vanishing theorem | |
| dc.type | text |