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arXiv · 1805.05406

On quasi-Clifford Osserman curvature tensors

Vladica Andrejić·Katarina Lukić
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Abstract

We consider pseudo-Riemannian generalizations of Osserman, Clifford, and the duality principle properties for algebraic curvature tensors and investigate relations between them. We introduce quasi-Clifford curvature tensors using a generalized Clifford family and show that they are Osserman. This allows us to discover an Osserman curvature tensor that does not satisfy the duality principle. We give some necessary and some sufficient conditions for the total duality principle.

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Vladica Andrejić, Katarina Lukić. 2018-05-14. On quasi-Clifford Osserman curvature tensors. https://arxiv.org/abs/1805.05406

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