Two-symmetric Lorentzian manifolds

Details Two-symmetric Lorentzian manifolds Two-symmetric Lorentzian manifolds

2010-11-15

arxiv.org/abs/1011.3439v3

Journal of Geometry and Physics 61 (2011) 2331--2340

Mathematics

Differential Geometry

11 pages, the final version

Scientific paper

We classify two-symmetric Lorentzian manifolds using methods of the theory of
holonomy groups. These manifolds are exhausted by a special type of pp-waves
and, like the symmetric Cahen-Wallach spaces, they have commutative holonomy.

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