Mehdi Vatandoost - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Rahimeh Pourkhandani - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.

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.

Spacetimes, Causal structure, Pseudoconvexity, Convexity