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Quaternion geometries on the twistor space of the six-sphere

Differential Geometry 2013-02-27 v1

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.

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Cite

@article{arxiv.1302.6397,
  title  = {Quaternion geometries on the twistor space of the six-sphere},
  author = {Francisco Martin Cabrera and Andrew Swann},
  journal= {arXiv preprint arXiv:1302.6397},
  year   = {2013}
}

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8 pages