2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63259This paper is a survey on special geometric structures that admit conformal Killing spinors based on lectures, given at the ``Workshop on Special Geometric Structures in String Theory'', Bonn, September 2001 and at ESI, Wien, November 2001. We discuss the case of Lorentzian signature and explain which geometries occur up to dimension 6.Latex2.09, 13 pagesDifferential GeometryHigh Energy Physics - Theory53C25, 53C50, 53A50, 53C80text