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Algebraic theory of affine curvature tensors. (English) Zbl 1164.53320
Summary: 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.

MSC:
53B20 Local Riemannian geometry
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