Hopf–Rinow Theorem

(Theory)

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Theory
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What is 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.

Technology Types

mathematical theoremmetric geometrypropositionstatementtheoremtheorems in geometrytheorems in riemannian geometrytheory

Synonyms

Complete manifoldHopf-Rinow theorem

Translations

Satz von Hopf-Rinow (de)Stelling van Hopf-Rinow (nl)Teorema di Hopf-Rinow (it)Théorème de Hopf-Rinow (fr)Теорема Хопфа — Ринова (ru)Теорема Хопфа — Рінова (uk)霍普夫-里诺定理 (zh)

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