Algebraic theory of affine curvature tensors
Differential Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0609759,
title = {Algebraic theory of affine curvature tensors},
author = {N. Blazic and P. Gilkey and S. Nikcevic and U. Simon},
journal= {arXiv preprint arXiv:math/0609759},
year = {2007}
}
Comments
The paper is dedicated to the memory of the first author (N. Blazic) who passed away Monday 10 October 2005