Two-symmetric Lorentzian manifolds
classification
🧮 math.DG
keywords
manifoldsholonomylorentziantwo-symmetriccahen-wallachclassifycommutativeexhausted
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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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