Globally Hyperbolic Lorentzian Manifolds with Special Holonomy Groups

Details Globally Hyperbolic Lorentzian Manifolds with Special Holonomy Groups Globally Hyperbolic Lorentzian Manifolds with Special Holonomy Groups

2009-09-20

arxiv.org/abs/0909.3630v1

Siberian Math. J., 50:4 (2009), 567-579

Mathematics

Differential Geometry

17 pages

Scientific paper

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

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