The Duality principle for Osserman algebraic curvature tensors

Y. Nikolayevsky; Z. Rakić

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arXiv · 1512.06932

The Duality principle for Osserman algebraic curvature tensors

Y. Nikolayevsky·Z. Rakić

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Abstract

We prove that for an algebraic curvature tensor on a pseudo-Euclidean space, the Jordan-Osserman condition implies the Rakić duality principle, and that the Osserman condition and the duality principle are equivalent in the diagonalisable case.

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Y. Nikolayevsky, Z. Rakić. 2015-12-22. The Duality principle for Osserman algebraic curvature tensors. https://arxiv.org/abs/1512.06932

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