Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds

Details Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds

2011-07-26

arxiv.org/abs/1107.5260v2

Int. J. Geom. Methods Mod. Phys. Volume: 9, Issue: 3(2012) 1250024

Mathematics

Differential Geometry

Scientific paper

10.1142/S0219887812500247

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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