3-quasi-Sasakian manifolds
| dc.creator | Montano, Beniamino Cappelletti | |
| dc.creator | De Nicola, Antonio | |
| dc.creator | Dileo, Giulia | |
| dc.date | 2007-06-11 | |
| dc.date | 2007-10-12 | |
| dc.date.accessioned | 2026-07-07T09:35:23Z | |
| dc.date.available | 2026-07-07T09:35:23Z | |
| dc.description | In the present paper we carry on a systematic study of 3-quasi-Sasakian manifolds. In particular we prove that the three Reeb vector fields generate an involutive distribution determining a canonical totally geodesic and Riemannian foliation. Locally, the leaves of this foliation turn out to be Lie groups: either the orthogonal group or an abelian one. We show that 3-quasi-Sasakian manifolds have a well-defined rank, obtaining a rank-based classification. Furthermore, we prove a splitting theorem for these manifolds assuming the integrability of one of the almost product structures. Finally, we show that the vertical distribution is a minimum of the corrected energy. | |
| dc.description | 17 pages, minor modifications, references updated | |
| dc.identifier | https://arxiv.org/abs/0706.1438 | |
| dc.identifier | http://arxiv.org/abs/0706.1438 | |
| dc.identifier | Ann. Glob. Anal. Geom. 33 (2008), 397-409. | |
| dc.identifier | doi:10.1007/s10455-007-9093-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159813 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C15, 53C25, 53C26 | |
| dc.title | 3-quasi-Sasakian manifolds | |
| dc.type | text |