Hi all, I would like to know if somebody know the cases when we have in the space time manifold (and in general in any manifold) geodesic incompleteness. I know that a case can be a singularity in the curvature scalar (or in general, a singularity in any component of the Riemann tensor). Also when we remove a point of our manifold. I ignore if when we have a singularity due to a bad selection of coordinates (coordinate singularities), there is geodesic incompleteness. Also ignore more cases. Thank you in advance.