KnowraRiemannian metricLinked fromLinked fromThe 23 pages that link to Riemannian metric, each with the reason it gives.All 23Broader topic 6Related 8Narrower topic 7Compared with 2Gaussian curvatureNarrower topic: Gaussian curvature is the two-dimensional curvature determined by this intrinsic metric.Riemannian distanceNarrower topic: It assigns the lengths of tangent vectors used to measure curves.Flat torusNarrower topic: A flat torus is defined by equipping its underlying surface with this structure.Systolic geometryNarrower topic: Systolic lengths and volumes are measured using a Riemannian metric.Clairaut's relationNarrower topic: The metric defines the geodesics and angle measured in Clairaut's relation.Filling area conjectureNarrower topic: The conjecture can be framed for disks whose intrinsic geometry is specified by a metric.Gauss's lemma (differential geometry)Narrower topic: The lemma concerns orthogonality measured by this metric after tangent vectors are mapped onto the manifold.