Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605817 | Differential Geometry and its Applications | 2016 | 12 Pages |
Abstract
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. This property is equivalent to admitting a parallel timelike vector field. We give some applications and derive some properties of the space of all such metrics on a given manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Manuel Gutiérrez, Olaf Müller,