Abstract
Four-dimensional pseudo-Riemann spacesV 1 with a metric having the signature (3, 1) are investigated. Subgroups of the Lorentz group are described which can be holonomy groups of the pseudo-Riemann spacesV: a) with zero Ricci curvature and b) symmetric. The reducibility of the above class of spaces is determined as a function of the holonomy group.
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Translated from Matematicheskie Zametki, Vol. 9, No.1, pp. 59–66, January, 1971.
In conclusion, the author wishes to thank his scientific director D. V. Alekseevskii for his help in this work.
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Astrakhantsev, V.V. Holonomy groups of four-dimensional pseudo-Riemann spaces. Mathematical Notes of the Academy of Sciences of the USSR 9, 33–37 (1971). https://doi.org/10.1007/BF01405048
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DOI: https://doi.org/10.1007/BF01405048