EntityQ3589432· pop 5· linked from 51 articlesGauss–Codazzi equationsSign in to saveFundamental formulas linking the metric and curvature tensor of a manifoldConnectionsGaussian curvatureEntityCarl Friedrich GaussEntityInternational Standard Book NumberEntitydigital object identifierEntityEuclidean spaceEntitydifferential geometryEntityOxford University PressEntitybasisEntitycurvatureEntitylinear independenceEntitytautologyEntityRiemannian geometryEntityQ22908627EntityRiemannian manifoldEntityChristoffel symbolEntityEncyclopedia of MathematicsEntityminimal surfaceEntityRiemann curvature tensorEntityexact sequenceEntityTheorema EgregiumEntityCategoriesCurvature (mathematics)Differential geometry of surfacesRiemannian geometrySurfaces