Twistors of Almost Quaternionic Manifolds

Details Twistors of Almost Quaternionic Manifolds Twistors of Almost Quaternionic Manifolds

2005-11-21

arxiv.org/abs/math/0511525v1

Mathematics

Differential Geometry

LaTeX, 12 pages, no figures

Scientific paper

We investigate the integrability of almost complex structures on the twistor space of an almost quaternionic manifold constructed with the help of a quaternionic connection. We show that if there is an integrable structure it is independent on the quaternionic connection. In dimension four, we express the anti-self-duality condition in terms of the Riemannian Ricci forms with respect to the associated quaternionic structure.

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