Poisson Quasi-Nijenhuis Manifolds
| dc.creator | Stienon, Mathieu | |
| dc.creator | Xu, Ping | |
| dc.date | 2006-02-14 | |
| dc.date | 2006-09-20 | |
| dc.date.accessioned | 2026-07-07T09:26:56Z | |
| dc.date.available | 2026-07-07T09:26:56Z | |
| dc.description | We introduce the notion of Poisson quasi-Nijenhuis manifolds generalizing the Poisson-Nijenhuis manifolds of Magri-Morosi. We also investigate the integration problem of Poisson quasi-Nijenhuis manifolds. In particular, we prove that, under some topological assumption, Poisson (quasi)-Nijenhuis manifolds are in one-one correspondence with symplectic (quasi)-Nijenhuis groupoids. As an application, we study generalized complex structures in terms of Poisson quasi-Nijenhuis manifolds. We prove that a generalized complex manifold corresponds to a special class of Poisson quasi-Nijenhuis structures. As a consequence, we show that a generalized complex structure integrates to a symplectic quasi-Nijenhuis groupoid recovering a theorem of Crainic. | |
| dc.description | 18 pages, title changed, introduction rewritten, order of sections changed, references added, minor changes to body text, to appear in Comm. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/math/0602288 | |
| dc.identifier | http://arxiv.org/abs/math/0602288 | |
| dc.identifier | Comm. Math. Phys. 270 (2007), no. 3, 709-725 | |
| dc.identifier | doi:10.1007/s00220-006-0168-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156927 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Symplectic Geometry | |
| dc.title | Poisson Quasi-Nijenhuis Manifolds | |
| dc.type | text |