The Duality principle for Osserman algebraic curvature tensors
Differential Geometry
2015-12-23 v1
Abstract
We prove that for an algebraic curvature tensor on a pseudo-Euclidean space, the Jordan-Osserman condition implies the Raki\'c duality principle, and that the Osserman condition and the duality principle are equivalent in the diagonalisable case.
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Cite
@article{arxiv.1512.06932,
title = {The Duality principle for Osserman algebraic curvature tensors},
author = {Y. Nikolayevsky and Z. Rakić},
journal= {arXiv preprint arXiv:1512.06932},
year = {2015}
}
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5 pages