Twistors of Almost Quaternionic Manifolds

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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.
LaTeX, 12 pages, no figures

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, 53C25; 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/105021

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511525
 http://arxiv.org/abs/math/0511525

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arXiv