Algebraic theory of affine curvature tensors

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

Contact the author: Please use for correspondence this email.
Submission date: 27. Sep. 2006
Pages: 19
published in: Archivum mathematicum, 42 (2006) 5, p. 147-168 
Bibtex
MSC-Numbers: 53B20
Keywords and phrases: algebraic curvature tensor, affine curvature tensor
Download full preprint: PDF (243 kB)

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.