Metric geometries over the split quaternions

We give an overview of some recent results in hypersymplectic and para-quaternionic Kähler geometry, and introduce the notion of split three-Sasakian manifold. In particular, we discuss the twistor spaces and Swann bundles of para-quaternionic Kähler manifolds. These are used to classify examples wi...

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Bibliographic Details
Main Authors: Dancer, A, Jørgensen, H, Swann, A
Format: Journal article
Published: 2005