Twistors of Almost Quaternionic Manifolds
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0511525,
title = {Twistors of Almost Quaternionic Manifolds},
author = {Stefan Ivanov and Ivan Minchev and Simeon Zamkovoy},
journal= {arXiv preprint arXiv:math/0511525},
year = {2007}
}
Comments
LaTeX, 12 pages, no figures