Quaternion geometries on the twistor space of the six-sphere

TL;DR

This paper characterizes all SO(7)-invariant almost quaternion-Hermitian structures on the twistor space of the six-sphere, detailing their intrinsic torsion types.

Contribution

It provides an explicit classification of invariant structures and their torsion properties on this specific geometric space.

Findings

All invariant structures are classified.

Intrinsic torsion types are explicitly determined.

The geometric properties of the twistor space are clarified.

Abstract

We explicitly describe all SO(7)-invariant almost quaternion-Hermitian structures on the twistor space of the six sphere and determine the types of their intrinsic torsion.