Globally hyperbolic manifold

A globally hyperbolic manifold is a concept from the field of differential geometry and general relativity, particularly concerning the study of spacetime manifolds. A manifold \((M, g)\) equipped with a Lorentzian metric \(g\) (which allows for the definition of time-like, space-like, and null intervals) is said to be globally hyperbolic if it satisfies certain causality conditions.