Contact 5-manifolds with SU(2)-structure
| dc.creator | de Andrés, Luis C. | |
| dc.creator | Fernández, Marisa | |
| dc.creator | Fino, Anna | |
| dc.creator | Ugarte, Luis | |
| dc.date | 2007-06-04 | |
| dc.date | 2008-06-20 | |
| dc.date.accessioned | 2026-07-07T09:45:27Z | |
| dc.date.available | 2026-07-07T09:45:27Z | |
| dc.description | We consider 5-manifolds with a contact form arising from a hypo structure, which we call \emph{hypo-contact}. We provide conditions which imply that there exists such a structure on an oriented hypersurface of a 6-manifold with a half-flat SU(3)-structure. For half-flat manifolds with a Killing vector field $X$ preserving the SU(3)-structure we study the geometry of the orbits space. Moreover, we describe the solvable Lie algebras admitting a \emph{hypo-contact} structure. This allows us exhibit examples of Sasakian $η$-Einstein manifolds, as well as to prove that such structures give rise to new metrics with holonomy SU(3) and to new metrics with holonomy $G_2$. | |
| dc.description | 23 pages, to be published in Q. J. Math | |
| dc.identifier | https://arxiv.org/abs/0706.0386 | |
| dc.identifier | http://arxiv.org/abs/0706.0386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163198 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25; 53C29; 17B30 | |
| dc.title | Contact 5-manifolds with SU(2)-structure | |
| dc.type | text |