Twistors of Almost Quaternionic Manifolds

Stefan Ivanov; Ivan Minchev; Simeon Zamkovoy

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Twistors of Almost Quaternionic Manifolds

Stefan Ivanov·Ivan Minchev·Simeon Zamkovoy

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Abstract

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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BibTeX RIS

Stefan Ivanov, Ivan Minchev, Simeon Zamkovoy. 2005-11-21. Twistors of Almost Quaternionic Manifolds. https://arxiv.org/abs/math/0511525

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