Metric geometries over the split quaternions

Simple item page
dc.creatorDancer, A. S.
dc.creatorJorgensen, H. R.
dc.creatorSwann, A. F.
dc.date2004-12-10
dc.date.accessioned2026-07-07T05:15:12Z
dc.date.available2026-07-07T05:15:12Z
dc.descriptionWe give an overview of some recent results in hypersymplectic and para-quaternionic Kahler geometry, and introduce the notion of split three-Sasakian manifold. In particular, we discuss the twistor spaces and Swann bundles of para-quaternionic Kahler manifolds. These are used to classify examples with a fully homogeneous action of a semi-simple Lie group, and to construct distinct para-quaternionic Kahler metrics from indefinite real analytic conformal manifolds. We also indicate how the theory of toric varieties gives rise to constructions of hypersymplectic manifolds.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0412215
dc.identifierhttp://arxiv.org/abs/math/0412215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73552
dc.subjectDifferential Geometry
dc.subject53C25
dc.titleMetric geometries over the split quaternions
dc.typetext

Files

Collections

arXiv