Compact Lorentzian holonomy

Manuel Gutiérrez; Olaf Müller

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arXiv · 1502.05289

Compact Lorentzian holonomy

Manuel Gutiérrez·Olaf Müller

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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.

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Manuel Gutiérrez, Olaf Müller. 2015-02-18. Compact Lorentzian holonomy. https://arxiv.org/abs/1502.05289

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