Algebraic theory of affine curvature tensors

2006/09/27 by Novica Blažić, Peter Gilkey, Blazic, N. +5 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.math/0609759

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.

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• Geometric realizations of affine Kaehler curvature models

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