Canonical connections on paracontact manifolds
| dc.creator | Zamkovoy, Simeon | |
| dc.date | 2007-07-12 | |
| dc.date | 2007-08-24 | |
| dc.date.accessioned | 2026-07-07T08:25:07Z | |
| dc.date.available | 2026-07-07T08:25:07Z | |
| dc.description | The canonical paracontact connection is defined and it is shown that its torsion is the obstruction the paracontact manifold to be paraSasakian. A $\mathcal{D}$-homothetic transformation is determined as a special gauge transformation. The $η$-Einstein manifold are defined, it is prove that their scalar curvature is a constant and it is shown that in the paraSasakian case these spaces can be obtained from Einstein paraSasakian manifolds with a $\mathcal{D}$-homothetic transformations. It is shown that an almost paracontact structure admits a connection with totally skew-symmetric torsion if and only if the Nijenhuis tensor of the paracontact structure is skew-symmetric and the defining vector field is Killing. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0707.1787 | |
| dc.identifier | http://arxiv.org/abs/0707.1787 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136559 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C15, 5350, 53C25, 53C26, 53B30 | |
| dc.title | Canonical connections on paracontact manifolds | |
| dc.type | text |