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Tangent vectorCotangent bundleGauge covariant derivativeTime dependent vector fieldExterior covariant derivativeConnectorMatrix calculusDifferential topologyDerivationTangent spaceSubderivativeCurvature formTangent coneDifferential equationSymmetric derivativeTangent bundleDifferentiable manifoldCongruenceDifferential operatorComplex differential formAnalytic manifoldSecond covariant derivativeReciprocantIntegro-differential equationGeometric calculusDifferential invariantDistributionPartial derivativeSurface gradientDifferential formGeometric topologyExterior derivativeTensor calculusJacobian matrix and determinantVector fieldDiffeomorphismInvariant manifoldEvectorEquivariant mapDifferential structureCartan connectionCotangent complexIntegral curveLine integralStructure tensorConformal geometryPartial differential equationFinsler manifoldMatrix normRicci-flat manifoldAffine connectionQuasi-derivativeStein manifoldEuler's theoremCotangent spaceCovariant transformationPolyconvexitySurface integralDivergenceFunctional calculusSymplectomorphismMultilinear formFormal derivativeContour integrationHodge theoryCauchy surfaceConvex geometryCausal structureLine bundleConservative vector fieldRicci calculusSymplectic manifoldCodimensionDensity on a manifoldSecond derivativeRankLie groupPiecewise linear manifoldHamiltonian vector fieldRiemann surfaceCurvatureScalar curvatureDifferential geometryDeterminantAlgebra over a fieldGlobal analysisQuotient ruleChain ruleHilbert manifoldTensor fieldDifferential calculusGaussian curvatureCalculus on euclidean spaceOrthogonal functionsVarifoldPushforwardTensor densityPseudo-riemannian manifoldMethod of characteristicsDifferentiable function