Screen bundles of Lorentzian manifolds and some generalisations of pp-waves
Differential Geometry
2012-08-14 v1
Abstract
A pp-wave is a Lorentzian manifold with a parallel light-like vector field satisfying a certain curvature condition. We introduce generalisations of pp-waves, on one hand by allowing the vector field to be recurrent and on the other hand by weakening the curvature condition. These generalisations are related to the screen holonomy of the Lorentzian manifold. While pp-waves have a trivial screen holonomy there are no restrictions on the screen holonomy of the manifolds with the weaker curvature condition.
Keywords
Cite
@article{arxiv.math/0507048,
title = {Screen bundles of Lorentzian manifolds and some generalisations of pp-waves},
author = {Thomas Leistner},
journal= {arXiv preprint arXiv:math/0507048},
year = {2012}
}
Comments
18 pages