Almost Quaternion-Hermitian Manifolds
| dc.creator | Cabrera, Francisco Martin | |
| dc.date | 2002-06-11 | |
| dc.date | 2005-08-04 | |
| dc.date.accessioned | 2026-07-07T04:49:04Z | |
| dc.date.available | 2026-07-07T04:49:04Z | |
| dc.description | Following the point of view of Gray and Hervella, we derive detailed conditions which characterize each one of the classes of almost quaternion-Hermitian $4n$-manifolds, $n>1$. Previously, by completing a basic result of A. Swann, we give explicit descriptions of the tensors contained in the space of covariant derivatives of the fundamental form $Ω$ and split the coderivative of $Ω$ into its ${\sl Sp}(n){\sl Sp}(1)$-components. For $4n>8$, A. Swann also proved that all the information about the intrinsic torsion $\nabla Ω$ is contained in the exterior derivative ${\sl d} Ω$. Thus, we give alternative conditions, expressed in terms of ${\sl d} Ω$, to characterize the different classes of almost quaternion-Hermitian manifolds. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0206115 | |
| dc.identifier | http://arxiv.org/abs/math/0206115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64282 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25;53C15;53C10 | |
| dc.title | Almost Quaternion-Hermitian Manifolds | |
| dc.type | text |