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Algebraic theory of affine curvature tensors

N. Blazic·P. Gilkey·S. Nikcevic·U. Simon
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Abstract

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.

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N. Blazic, P. Gilkey, S. Nikcevic, U. Simon. 2006-09-27. Algebraic theory of affine curvature tensors. https://arxiv.org/abs/math/0609759

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