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paper

Globally Hyperbolic Lorentzian Manifolds with Special Holonomy Groups

arXiv:0909.3630

Abstract

We prove that each special Lorentzian holonomy group (with the exception of those including the isotropy groups of Kähler symmetric spaces with rank greater than one) can be realized as the holonomy group of a globally hyperbolic Lorentzian manifold.

17 pages