EntityQ757269· pop 29· linked from 404 articlesmetric tensorSign in to savesymmetric rank (0, 2) tensor field on a smooth manifoldConnectionsCartesian coordinate systemEntitylinear mapEntitydifferential formEntitypseudo-Riemannian manifoldEntityCarl Friedrich GaussEntitymatrixEntitycoordinate systemEntitymetric spaceEntitymanifoldEntitybasisEntitygeodesic curveEntitytranspose matrixEntitysymmetric matrixEntityinvertible matrixEntityarc lengthEntityinner product spaceEntityquadratic formEntityRiemannian manifoldEntitysmooth functionEntitydifferentiable manifoldEntityCategoriesConcepts in physicsDifferential geometryMetric tensorsRiemannian geometryTensors