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.

arXiv comment9 pages, no figure

Cited by in corpus (1)

• Curvature properties of $\varphi$-null Osserman Lorentzian $\mathcal{S}$-manifolds