Linked from

The 8 pages that link to Riemannian distance, each with the reason it gives.

• Metric tensorBroader topic: Curve lengths computed from the metric induce distances between points.

• Riemannian 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.

• Riemannian metricBroader topic: Taking the shortest curve length turns the metric into a distance between points.

• 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.