Geodesic
A~local invariant of a~Riemannian manifold
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 125-149

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In this paper we investigate the geometry of local invariants of a four-dimensional Riemannian manifold and prove that all irreducible components of the curvature tensor can be reconstructed from a local invariant up to proportionality. Bibliography: 14 titles. 
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     author = {A. N. Tyurin},
     title = {A~local invariant of {a~Riemannian} manifold},
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A. N. Tyurin. A~local invariant of a~Riemannian manifold. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 125-149. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a7/