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The twistor equation in Lorentzian spin geometry
Helga Baum, Felipe Leitner
In this paper we discuss the twistor equation in Lorentzian spin geometry. In particular, we explain the local conformal structure of Lorentzian manifolds, which admit twistor spin…
Doubly Extended Lie Groups - Curvature, Holonomy and Parallel Spinors
Helga Baum, Ines Kath
(This is a revised version of the paper) - In the present paper we study the geometry of doubly extended Lie groups with their natural biinvariant metric. We describe the curvature…
Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey
Helga Baum
This 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 The…
Lorentzian twistor spinors and CR-geometry
Helga Baum
We prove that there exist global solutions of the twistor equation on the Fefferman spaces of strictly pseudoconvex spin manifolds of arbitrary dimension and we study their propert…
Twistor spinors on Lorentzian symmetric spaces
Helga Baum
We solve the twistor equation on all indecomposable Lorentzian symmetric spaces explicity.
Parallel spinors and holonomy groups on pseudo-Riemannian spinmanifolds
Helga Baum, Ines Kath
We describe the possible holonomy groups of simply connected irreducible non-locally symmetric pseudo-Riemannian spin manifolds which admit parallel spinors.