Classification of third-order symmetric Lorentzian manifolds
classification
🧮 math.DG
keywords
lorentzianmanifoldssymmetricspacesthird-ordercahen-wallachclassificationclassified
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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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