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Compact Lorentzian holonomy

Gutiérrez, Manuel ; Müller, Olaf


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. (C) 2016 Elsevier B.V. All rights reserved.

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