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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
104/2006

Algebraic theory of affine curvature tensors

Novica Blazic, Peter B. Gilkey, Stana Nikcevic and Udo Simon

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 connec tion; the latter naturally appear in relative hypersurface theory.

Received:
Sep 27, 2006
Published:
Sep 27, 2006
MSC Codes:
53B20
Keywords:
algebraic curvature tensor, affine curvature tensor

Related publications

inJournal
2006 Journal Open Access
Peter B. Gilkey, Stana Nikcevic and Udo Simon

Algebraic theory of affine curvature tensors

In: Archivum mathematicum, 42 (2006) 5, pp. 147-168