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Structure of space-time curvature

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The structure of recurrently related operators of the curvature tensor and of its covariant derivatives for n-dimensional Riemannian spaces with arbitrary signature is examined. Applications to Einstein's theory of gravitation are given.

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Translated from Itogi Nauki i Tekhniki, Seriya Problemy Geometrii, Vol. 14, pp. 177–204, 1983.

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Kaigorodov, V.R. Structure of space-time curvature. J Math Sci 28, 256–273 (1985). https://doi.org/10.1007/BF02105213

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