29 citations · 87 across the 9 of their papers we have counts for
9 papers
Cauchy problems for Lorentzian manifolds with special holonomy
Helga Baum, Thomas Leistner, Andree Lischewski
On a Lorentzian manifold the existence of a parallel null vector field implies certain constraint conditions on the induced Riemannian geometry of a space-like hypersurface. We wil…
On the full holonomy group of special Lorentzian manifolds
Helga Baum, Kordian Lärz, Thomas Leistner
We study the full holonomy group of Lorentzian manifolds with a parallel null line bundle. We prove several results that are based on the classification of the restricted holonomy…
Codazzi spinors and globally hyperbolic manifolds with special holonomy
Helga Baum, Olaf Müller
In this paper we examine the structure of Riemannian manifolds with a special kind of Codazzi tensors. We use them to construct globally hyperbolic Lorentzian manifolds with comple…
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…