Tangent Dirac structures and submanifolds
| dc.creator | Vaisman, Izu | |
| dc.date | 2005-03-13 | |
| dc.date.accessioned | 2026-07-07T05:17:53Z | |
| dc.date.available | 2026-07-07T05:17:53Z | |
| dc.description | We write down the local equations that characterize the submanifolds N of a Dirac manifold M which have a normal bundle that is either a coisotropic or an isotropic submanifold of TM endowed with the tangent Dirac structure. In the Poisson case, these formulas prove again a result of Xu: the submanifold N has a normal bundle which is a coisotropic submanifold of TM with the tangent Poisson structure iff N is a Dirac submanifold. In the presymplectic case, it is the isotropy of the normal bundle which characterizes the corresponding notion of a Dirac submanifold. On the way, we give a simple definition of the tangent Dirac structure, we make new remarks about it, and we establish characteristic, local formulas for various interesting classes of submanifolds of a Dirac manifold. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503237 | |
| dc.identifier | http://arxiv.org/abs/math/0503237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74470 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D17 | |
| dc.title | Tangent Dirac structures and submanifolds | |
| dc.type | text |