Generalized Complex Submanifolds
| dc.creator | Barton, James | |
| dc.creator | Stienon, Mathieu | |
| dc.date | 2006-03-20 | |
| dc.date | 2007-04-07 | |
| dc.date.accessioned | 2026-07-07T09:51:36Z | |
| dc.date.available | 2026-07-07T09:51:36Z | |
| dc.description | We introduce the notion of twisted generalized complex submanifolds and describe an equivalent characterization in terms of Poisson-Dirac submanifolds. Our characterization recovers a result of Vaisman. An equivalent characterization is also given in terms of spinors. As a consequence, we show that the fixed locus of an involution preserving a twisted generalized complex structure is a twisted generalized complex submanifold. We also prove that a twisted generalized complex manifold has a natural Poisson structure. We also discuss generalized Kaehler submanifolds. | |
| dc.description | section 3 expanded, three sections added, 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603480 | |
| dc.identifier | http://arxiv.org/abs/math/0603480 | |
| dc.identifier | Pacific J. Math. 236 (2008), no. 1, 23--44 | |
| dc.identifier | doi:10.2140/pjm.2008.236-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165300 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Generalized Complex Submanifolds | |
| dc.type | text |