Homogeneous nearly Kähler manifolds
| dc.creator | Butruille, Jean-Baptiste | |
| dc.date | 2006-12-21 | |
| dc.date.accessioned | 2026-07-07T07:36:38Z | |
| dc.date.available | 2026-07-07T07:36:38Z | |
| dc.description | We classify six-dimensional homogeneous nearly Kähler manifolds and give a positive answer to Gray and Wolf's conjecture: every homogeneous nearly Kähler manifold is a Riemannian 3-symmetric space equipped with its canonical almost Hermitian structure. The only four examples in dimension 6 are $S^3 \times S^3$, the complex projective space $\CM P^3$, the flag manifold $\mathbb F^3$ and the sphere $S^6$. We develop, about each of these spaces, a distinct aspect of nearly Kähler geometry and make in the same time a sharp description of its specific homogeneous structure. | |
| dc.description | This is the english version of an older article written in french (Classification des variétés approximativement kähleriennes homogènes, Ann. Global Anal. Geom. 27, 201-225, 2005). It contains no new results. However, we modified the structure of the paper, simplified some proofs and added a lot of explanations, especially on 3-symmetric spaces. It can be read as a sort of survey on nearly Kähler manifolds | |
| dc.identifier | https://arxiv.org/abs/math/0612655 | |
| dc.identifier | http://arxiv.org/abs/math/0612655 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120496 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C10, 53C15, 53C25, 53C28, 53C30 | |
| dc.title | Homogeneous nearly Kähler manifolds | |
| dc.type | text |