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arXiv · 1109.0386

Equivalence between the Osserman condition and the Rakić duality principle in dimension four

Miguel Brozos-Vázquez·Eugenio Merino
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Abstract

We show that 4-dimensional Riemannian manifolds which satisfy the Rakić duality principle are Osserman (i.e. the eigenvalues of the Jacobi operator are constant), thus both conditions are equivalent.

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Miguel Brozos-Vázquez, Eugenio Merino. 2011-09-02. Equivalence between the Osserman condition and the Rakić duality principle in dimension four. https://doi.org/10.1016/j.geomphys.2012.08.002

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