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The parallel lightlike vector conjecture for non locally symmetric KS manifolds
Parallel lightlike vector conjecture. If $(M,g)$ is a non-locally symmetric $\mathcal{KS}_n$ semi-Riemannian manifold, then it admits a parallel lightlike vector field.
Conjectureopencurvature parallel-vector-fields semi-riemannian-geometryarXiv posted 2 days ago

The parallel lightlike vector conjecture for non locally symmetric KS manifolds