Twistor and Reflector spaces for paraquaternionic contact manifolds

TL;DR

This paper explores the geometric structures of twistor and reflector spaces over paraquaternionic contact manifolds, demonstrating their intrinsic integrability and contributing to the understanding of their geometric properties.

Contribution

It introduces and analyzes the intrinsic integrable structures of twistor and reflector spaces associated with paraquaternionic contact manifolds.

Findings

Twistor and reflector spaces have intrinsic integrable geometric structures.

These structures are always integrable regardless of the specific manifold.

The results deepen understanding of the geometry of paraquaternionic contact manifolds.

Abstract

We consider certain fiber bundles over a paraquaternionic contact manifolds, called twistor and reflector spaces, and show that these carry an intrinsic geometric structure that is always integrable.