: Mathématiques: Hopf-Rinow theorem

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Hopf-Rinow theorem

Hopf–Rinow theorem is a set of statements about the geodesic completeness of Riemannian manifolds. It is named after Heinz Hopf and his student Willi Rinow, who published it in 1931. Stefan Cohn-Vossen extended part of the Hopf–Rinow theorem to the context of certain types of metric spaces.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hopf%E2%80%93Rinow_theorem)

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