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arXiv · 1407.3594

Classification of third-order symmetric Lorentzian manifolds

Anton S. Galaev
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Abstract

Third-order symmetric Lorentzian manifolds, i.e. Lorentzian manifold with zero third derivative of the curvature tensor, are classified. These manifolds are exhausted by a special type of pp-waves, they generalize Cahen-Wallach spaces and second-order symmetric Lorentzian spaces.

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Anton S. Galaev. 2014-07-14. Classification of third-order symmetric Lorentzian manifolds. https://doi.org/10.1088/0264-9381/32/2/025001

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