Algebraic theory of affine curvature tensors
Novica Blazic, Peter B. Gilkey, Stana Nikcevic, and Udo Simon
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Submission date: 27. Sep. 2006
published in: Archivum mathematicum, 42 (2006) 5, p. 147-168
Keywords and phrases: algebraic curvature tensor, affine curvature tensor
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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 connec tion; the latter naturally appear in relative hypersurface theory.