KnowraRiemannian distanceLinked fromLinked fromThe 8 pages that link to Riemannian distance, each with the reason it gives.All 8Broader topic 2Related 6Riemannian geometryRelated: The metric turns curve lengths into an intrinsic distance between points.Riemannian manifoldRelated: It gives the manifold an intrinsic distance derived from its metric.Levi-Civita connectionRelated: Geodesics of the connection locally realize this metric distance.Hopf–Rinow theoremRelated: This metric supplies the distance whose completeness appears in the theorem.Fundamental theorem of Riemannian geometryRelated: Its minimizing curves are geodesics of the Levi-Civita connection.Myers's theoremRelated: The diameter conclusion bounds this distance uniformly across the manifold.