Quaternion geometries on the twistor space of the six-sphere

Preprint number: CP3-Origins-2013-2 DNRF90 and DIAS-2013-2
Authors: Francisco Martin Cabrera (University of La Laguna) and Andrew Swann (CP3-Origins & Aarhus University)
External link: arXiv.org

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.