Principal torus bundles of Lorentzian S-manifolds and the φ-null Osserman condition
Abstract
The main result we give in this brief note relates, under suitable hypotheses, the φ-null Osserman, the null Osserman and the classical Osserman conditions to each other, via semi-Riemannian submersions as projection maps of principal torus bundles arising from a Lorentzian S-manifold.
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