Contact Pairs
| dc.creator | Bande, Gianluca | |
| dc.creator | Hadjar, Amine | |
| dc.date | 2003-05-27 | |
| dc.date | 2008-12-05 | |
| dc.date.accessioned | 2026-07-07T12:09:27Z | |
| dc.date.available | 2026-07-07T12:09:27Z | |
| dc.description | We introduce a new geometric structure on differentiable manifolds. A \textit{Contact} \textit{Pair}on a manifold $M$ is a pair $(α,η) $ of Pfaffian forms of constant classes $2k+1$ and $2h+1$ respectively such that $α\wedge dα^{k}\wedgeη\wedge dη^{h}$ is a volume form. Both forms have a characteristic foliation whose leaves are contact manifolds. These foliations are transverse and complementary. Further differential objects are associated to Contact Pairs: two commuting Reeb vector fields, Legendrian curves on $M$ and two Lie brackets on $\mathcal{C}^{\infty}(M) $. We give a local model and several existence theorems on nilpotent Lie groups, nilmanifolds, bundles over the circle and principal torus bundles. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305381 | |
| dc.identifier | http://arxiv.org/abs/math/0305381 | |
| dc.identifier | Tohoku Math. J. 57 (2005), no. 2, 247--260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209630 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D10; 57R17 | |
| dc.title | Contact Pairs | |
| dc.type | text |