Algebraic theory of affine curvature tensors

Details Algebraic theory of affine curvature tensors Algebraic theory of affine curvature tensors

2006-09-27

arxiv.org/abs/math/0609759v1

Mathematics

Differential Geometry

The paper is dedicated to the memory of the first author (N. Blazic) who passed away Monday 10 October 2005

Scientific paper

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.

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