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.
Related projects:	Mathematical structures and their physical applications Holonomy of Riemannian supermanifolds and related geometric structures