Hopf–Rinow theorem

id: hopf-rinow-theorem-193-3881004
title: Hopf–Rinow theorem
text: 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.
brand slug: wiki
category slug: encyclopedia
description: Gives equivalent statements about the geodesic completeness of Riemannian manifolds
original url: https://en.wikipedia.org/wiki/Hopf%E2%80%93Rinow_theorem
date created:
date modified: 2024-04-05T21:59:04Z
main entity: {"identifier":"Q2094241","url":"https://www.wikidata.org/entity/Q2094241"}
image:
fields total: 13
integrity: 14

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