Geodesic
Algebraic theory of affine curvature tensors
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 147-168.

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We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally appear in relative hypersurface theory.
Classification : 53Bxx
Keywords: algebraic curvature tensors; affine curvature tensors 
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     title = {Algebraic theory of affine curvature tensors},
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     pages = {147--168},
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Blažić, N.; Gilkey, P.; Nikčević, S.; Simon, U. Algebraic theory of affine curvature tensors. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 147-168. http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a4/