Two-symmetric Lorentzian manifolds

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Authors

ALEKSEEVSKIY Dmitry GALAEV Anton

Year of publication 2011
Type Article in Periodical
Magazine / Source Journal of Geometry and Physics
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Two-symmetric Lorentzian manifold; pp-wave; Holonomy algebra; Curvature tensor; Parallel Weyl conformal curvature tensor
Description 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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