Abstract
Under certain conditions, two points of a normal hyperbolic manifold joined by a time-like curve can be joined by a time-like geodesic. These conditions are discussed, and some applications are given.
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Seifert, HJ. Ein Satz über geodätische Verbindbarkeit in normalhyperbolischen Räumen. Commun.Math. Phys. 4, 324–330 (1967). https://doi.org/10.1007/BF01653646
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DOI: https://doi.org/10.1007/BF01653646