Geometric theory of equiaffine curvature tensors

Details Geometric theory of equiaffine curvature tensors Geometric theory of equiaffine curvature tensors

2009-03-30

arxiv.org/abs/0903.5269v1

Mathematics

Differential Geometry

Scientific paper

We present an algebraic investigation of generalized and equiaffine curvature tensors in a given pseudo-Euclidean vector space and study different orthogonal, irreducible decompositions in analogy to the known decomposition of algebraic curvature tensors. We apply the decomposition results to characterize geometric properties of Codazzi structures and relative hypersurfaces; particular emphasis is on projectively flat structures.

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