Para-quaternionic reduction
| dc.creator | Vukmirovic, Srdjan | |
| dc.date | 2003-04-27 | |
| dc.date.accessioned | 2026-07-07T04:57:27Z | |
| dc.date.available | 2026-07-07T04:57:27Z | |
| dc.description | The pseudo-Riemannian manifold $M=(M^{4n},g), n \geq 2$ is para-quaternionic K\" ahler if $hol(M) \subset sp(n, \RR) \oplus sp(1, \RR).$ If $hol(M) \subset sp(n, \RR),$ than the manifold $M$ is called para-hyperK\" ahler. The other possible definitions of these manifolds use certain parallel para-quaternionic structures in $\End (TM),$ similarly to the quaternionic case. In order to relate these different definitions we study para-quaternionic algebras in details. We describe the reduction method for the para-quaternionic K\" ahler and para-hyperK\" ahler manifolds and give some examples. The decomposition of a curvature tensor of the para-quaternionic type is also described. | |
| dc.description | 21 page | |
| dc.identifier | https://arxiv.org/abs/math/0304424 | |
| dc.identifier | http://arxiv.org/abs/math/0304424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67265 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C07; 53G10; 53C80; 53C15 | |
| dc.title | Para-quaternionic reduction | |
| dc.type | text |