Compact Lorentzian holonomy
Differential Geometry
2016-03-24 v4
Abstract
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. Among other results, we obtain that this property is equivalent to admitting a parallel timelike vector field. We also derive some properties of the space of all such metrics on a given manifold.
Keywords
Cite
@article{arxiv.1502.05289,
title = {Compact Lorentzian holonomy},
author = {Manuel Gutiérrez and Olaf Müller},
journal= {arXiv preprint arXiv:1502.05289},
year = {2016}
}