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Publication details
Classification of third-order symmetric Lorentzian manifolds
Authors | |
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Year of publication | 2015 |
Type | Article in Periodical |
Magazine / Source | Classical and Quantum Gravity |
MU Faculty or unit | |
Citation | |
web | http://iopscience.iop.org/0264-9381/32/2/025001 |
Doi | http://dx.doi.org/10.1088/0264-9381/32/2/025001 |
Field | General mathematics |
Keywords | third-order symmetric Lorentzian manifold; pp-wave; curvature; holonomy |
Description | Third-order symmetric Lorentzian manifolds, i.e., Lorentzian manifolds 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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