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Algebraic theory of affine curvature tensors
Novica Blazic, Peter B. Gilkey, Stana Nikcevic and Udo SimonAbstract
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.
- Received:
- 27.09.06
- Published:
- 27.09.06
- MSC Codes:
- 53B20
- Keywords:
- algebraic curvature tensor, affine curvature tensor