On pseudoconvexity conditions and static spacetimes

Recently, the relationship between (geodesics) convexity, connectedness, and completeness properties in Riemannian manifolds (∑; h) and the causal properties in Lorentzian static spacetimes (M; g) = (R × ∑; -dt۲ + h) is studied. In this paper, some sufficient conditions are introduced to (∑; h) be geodesically convex.

کلیدواژه ها:

Spacetimes ، Causal structure ، Pseudoconvexity ، Convexity