Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Abstract

We consider certain fiber bundles over paraquaternionic contact manifolds, called twistor and reflector spaces. We show that the twistor space carries an integrable CR structure (Cauchy–Riemann structure) and the reflector space is an integrable para-CR structure, both with neutral signatures.

Keywords

• paraquaternionic
• twistor
• reflector
• contact