Publication details

Classification of third-order symmetric Lorentzian manifolds

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Authors

GALAEV Anton

Year of publication 2015
Type Article in Periodical
Magazine / Source Classical and Quantum Gravity
MU Faculty or unit

Faculty of Science

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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