English

Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds

Differential Geometry 2012-04-24 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1107.5260,
  title  = {Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds},
  author = {Gabriel Eduard Vilcu and Rodica Cristina Voicu},
  journal= {arXiv preprint arXiv:1107.5260},
  year   = {2012}
}