The existence of closed 3-forms of $\tilde G_2$-type on 7-manifolds
| dc.creator | Le, Hong-Van | |
| dc.date | 2006-03-08 | |
| dc.date | 2008-05-03 | |
| dc.date.accessioned | 2026-07-07T09:36:46Z | |
| dc.date.available | 2026-07-07T09:36:46Z | |
| dc.description | In this note we construct a first example of a closed 3-form of $\tilde G_2$-type on $S^3\times S^4$. We prove that $S^3\times S^4$ does not admit a homogeneous 3-form of $\tilde G_2$-type. Thus our example is a first example of a closed 3-form of $\tilde G_2$-type on a compact 7-manifold which is not stably homogeneous. | |
| dc.description | 10 pages, extended version of the first part of the previously submitted note. The second part of this note has been revised, extended and appeared in Archivum Math. 43 (2007) 443-457 | |
| dc.identifier | https://arxiv.org/abs/math/0603182 | |
| dc.identifier | http://arxiv.org/abs/math/0603182 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160235 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C10, 53C42 | |
| dc.title | The existence of closed 3-forms of $\tilde G_2$-type on 7-manifolds | |
| dc.type | text |