Twistor spinors on Lorentzian manifolds, CR-geometry and Fefferman spaces

Helga Baum

E-mail: baum@mathematik.hu-berlin.de

Abstract. The paper deals with twistor spinors on Lorentzian manifolds. In particular, we explain a relation between a certain class of Lorentzian twistor spinors and the Fefferman spaces of strictly pseudoconvex spin manifolds which appear in CR-geometry.

AMSclassification. 58G30, 53C50, 53A50

Keywords. Twistor equation, Twistor spinors, Lorentzian manifolds, CR-geometry, Fefferman spaces