A class of Sasakian 5-manifolds
| dc.creator | Andrada, Adrian | |
| dc.creator | Fino, Anna | |
| dc.creator | Vezzoni, Luigi | |
| dc.date | 2008-07-11 | |
| dc.date | 2009-03-12 | |
| dc.date.accessioned | 2026-07-07T12:51:12Z | |
| dc.date.available | 2026-07-07T12:51:12Z | |
| dc.description | We obtain some general results on Sasakian Lie algebras and prove as a consequence that a (2n + 1)-dimensional nilpotent Lie group admitting left-invariant Sasakian structures is isomorphic to the real Heisenberg group $H_{2n + 1}$. Furthermore, we classify Sasakian Lie algebras of dimension 5 and determine which of them carry a Sasakian $α$-Einstein structure. We show that a 5-dimensional solvable Lie group with a left-invariant Sasakian structure and which admits a compact quotient by a discrete subgroup is isomorphic to either $H_5$ or a semidirect product $\R \ltimes (H_3 \times \R)$. In particular, the compact quotient is an $S^1$-bundle over a 4-dimensional Kähler solvmanifold. | |
| dc.description | The title has been shortened; references added or updated; typos corrected. Formula (4) corrected. Some changes in the introduction. To appear in Transformation Groups | |
| dc.identifier | https://arxiv.org/abs/0807.1800 | |
| dc.identifier | http://arxiv.org/abs/0807.1800 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222917 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25; 22E60; 53C30 | |
| dc.title | A class of Sasakian 5-manifolds | |
| dc.type | text |