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arXiv · 1011.6541

Some applications of the Lorentzian holonomy algebras

Anton S. Galaev
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Abstract

It is shown how one can apply the classification of the holonomy algebras of Lorentzian manifolds to solve some problems. In particular, a new proof to the classification of Lorentzian manifolds with recurrent curvature tensor is given; the classification of two-symmetric Lorentzian manifolds is explained; conformally recurrent Lorentzian manifolds are classified; recurrent symmetric bilinear forms on Lorentzian manifolds are described.

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Anton S. Galaev. 2010-11-30. Some applications of the Lorentzian holonomy algebras. https://doi.org/10.7546/jgsp-26-2012-13-31

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