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Second derivativeExterior covariant derivativeTangential and normal componentsSecond fundamental formCovariant derivativeGradientPartial derivativeCotangent bundleSymmetric bilinear formSubderivativeTangent spaceJacobian matrix and determinantChain ruleDivergenceLie bracket of vector fieldsMultivariable calculusPrincipal curvatureGeneralizations of the derivativeThird derivativeCalculus on euclidean spaceDirectional derivativeDual spaceGauge covariant derivativeTranspose of a linear mapFundamental theorem of calculusGradient theoremDifferentiable curveSkew gradientAffine connectionDifferential invariantDivergence theoremMetric tensorDual systemOrdinary differential equationInverse function ruleTensor productFirst fundamental formFormal derivativeTensor calculusDyadicsFunctional derivativeBilinear formSymplectic geometryStructure tensorIntegro-differential equationSymplectic manifoldTime dependent vector fieldInvariants of tensorsQuotient ruleLie derivativeTensor product of hilbert spacesFractal derivativeAntiderivativeIntegration by partsRicci flowMatrix differential equationGeneral covarianceDifferential geometry of surfacesBilinear mapConvex conjugateRiemannian geometryLiouville field theoryDifferential operatorConnectorCross productSymmetry of second derivativesMusical isomorphismDifferentiable manifoldTensor algebraIterated integralDifferential equationGeometric calculusHessian matrixDistributionTotal derivativeConvolutionPartial differential equationAdjoint representationExact differential equationLinear differential equationDirac equation in curved spacetimeExterior derivativeDifferentialHermitian adjointGeometric flowOsculating planeDifferential structureGauge theoryCoarea formulaLegendre functionLinear mapComplemented subspaceDirection cosineLogarithmic differentiationRicci calculusSeparation of variablesConjugacy classLaplace operatorDifferential formSurface gradient