Globally hyperbolic Lorentzian spaces with special holonomy groups

Globally hyperbolic Lorentzian spaces with special holonomy groups

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

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Veröffentlicht in:Siberian mathematical journal 2009-07, Vol.50 (4), p.567-579
1. Verfasser: Bazaĭkin, Ya. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We prove that each special Lorentzian holonomy group (with the exception of those including the isotropy groups of Kähler symmetric spaces) can be realized as the holonomy group of a globally hyperbolic Lorentzian manifold.
ISSN:0037-4466
1573-9260
DOI:10.1007/s11202-009-0063-y