2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105101We investigate the integrability of natural almost complex structures on the twistor space of an almost para-quaternionic manifold as well as the integrability of natural almost paracomplex structures on the reflector space of an almost para-quaternionic manifold constructed with the help of a para-quaternionic connection. We show that if there is an integrable structure it is independent on the para-quaternionic connection. In dimension four, we express the anti-self-duality condition in terms of the Riemannian Ricci forms with respect to the associated para-quaternionic structure.LaTeX, 16 pages, no figuresDifferential GeometryHigh Energy Physics - TheoryMathematical Physics53C15, 5350text