准四元数切触流形的扭量与反射空间

Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds

In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic Kähler manifold and prove the existence of both positive and negative mixed 3-Sasakian structures in a principal SO(2,1)-bundle over a paraquaternionic Kähler manifold.

广义反射空间上的广义仿复结构

Generalized paracomplex structures on generalized reflector spaces

该研究借助扭量空间构造方法，在广义反射空间上给出 Hitchin 意义下广义仿复结构的非平凡实例。

Twistor and Reflector Spaces of Almost Para-Quaternionic Manifolds

We investigate the integrability of natural almost complex structures on the twistor space of an almost para-quaternionic manifold as well as the integrability of natural almost paracomplex structures on the reflector space of an almost para-quaternionic manifold constructed with the help of a para-quaternionic connection. We show that if there is an integrable structure it is independent on the para-quaternionic connection. In dimension four, we express the anti-self-duality condition in terms of the Riemannian Ricci forms with respect to the associated para-quaternionic structure.