Causal simplicity and (maximal) null pseudoconvexity

Abstract

We consider pseudoconvexity properties in Lorentzian and Riemannian manifolds and their relationship in static spacetimes. We provide an example of a causally continuous and maximal null pseudoconvex spacetime that fails to be causally simple. Its Riemannian factor provides an analogous example of a manifold that is minimally pseudoconvex, but fails to be convex.

References in corpus (2)

• A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case
• A note on causality conditions on covering spacetimes

Cited by in corpus (2)

• A Note on the Gannon-Lee Theorem
• The space of light rays: Causality and $L$-boundary