Transversal Twistor Spaces of Foliations
| dc.creator | Vaisman, Izu | |
| dc.date | 1999-11-06 | |
| dc.date.accessioned | 2026-07-07T05:31:28Z | |
| dc.date.available | 2026-07-07T05:31:28Z | |
| dc.description | The transversal twistor space of a foliation F of an even codimension is the bundle ZF of the complex structures of the fibers of the transversal bundle of F. On ZF, there exists a foliation F' by covering spaces of the leaves of F, and any Bott connection of F produces an ordered pair (I,J) of transversal almost complex structures of F'. The existence of a Bott connection which yields a structure I that is projectable to the space of leaves is equivalent to the fact that F is a transversally projective foliation. A Bott connection which yields a projectable structure J exists iff F is a transversally projective foliation which satisfies a supplementary cohomological condition, and, in this case, I is projectable as well. J is never integrable. The essential integrability condition of I is the flatness of the transversal projective structure of F. | |
| dc.description | LaTex, 33 pg | |
| dc.identifier | https://arxiv.org/abs/math/9911038 | |
| dc.identifier | http://arxiv.org/abs/math/9911038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79354 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C12; 57F30 | |
| dc.title | Transversal Twistor Spaces of Foliations | |
| dc.type | text |