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@article{948616, author = {Alekseevskiy, Dmitry and Galaev, Anton}, article_location = {Amsterdam}, article_number = {12}, keywords = {Two-symmetric Lorentzian manifold; pp-wave; Holonomy algebra; Curvature tensor; Parallel Weyl conformal curvature tensor}, language = {eng}, issn = {0393-0440}, journal = {Journal of Geometry and Physics}, title = {Two-symmetric Lorentzian manifolds}, volume = {61}, year = {2011} }
TY - JOUR ID - 948616 AU - Alekseevskiy, Dmitry - Galaev, Anton PY - 2011 TI - Two-symmetric Lorentzian manifolds JF - Journal of Geometry and Physics VL - 61 IS - 12 SP - 2331-2340 EP - 2331-2340 PB - Elsevier Science SN - 03930440 KW - Two-symmetric Lorentzian manifold KW - pp-wave KW - Holonomy algebra KW - Curvature tensor KW - Parallel Weyl conformal curvature tensor N2 - 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. ER -
ALEKSEEVSKIY, Dmitry and Anton GALAEV. Two-symmetric Lorentzian manifolds. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier Science, 2011, vol.~61, No~12, p.~2331-2340. ISSN~0393-0440.
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