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arxiv: 1107.5260 · v2 · pith:IY3FF2JQnew · submitted 2011-07-26 · 🧮 math.DG

Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds

classification 🧮 math.DG
keywords paraquaternioniccurvaturehlermanifoldpropertiesbundlebundlesexistence
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In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic K\"{a}hler manifold and prove the existence of both positive and negative mixed 3-Sasakian structures in a principal SO(2,1)-bundle over a paraquaternionic K\"{a}hler manifold.

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