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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.

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# Geodesic incompleteness cases

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