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Exterior covariant derivativeSymplectic manifoldRiemannian geometryFormal derivativeLaplace operatorHodge star operatorInverse function ruleDifferential operatorDifferential topologyMetric tensorFirst fundamental formDifferential structureComplex differential formGeneralizations of the derivativeRicci calculusFractal derivativeOrdinary differential equationCotangent bundleLogarithmic normDensity on a manifoldSchwarzian derivativeSimons' formulaHodge theoryLegendre transformationSubderivativeCross productCalculus on euclidean spaceIntegralDifferential geometry of surfacesArithmetic derivativeMatrix differential equationLie bracket of vector fieldsCoarea formulaExterior derivativeIntegro-differential equationAntiderivativeGeometric flowSymplectic geometryMultiplicative inverseMean curvatureDifferential geometryEuclidean topologyLagrange inversion theoremRelative interiorNewtonian potentialAffine connectionOperator algebraRicci flowHolomorphic functionDifferential equationSelf-adjoint operatorRiemannian manifoldDerivationDifferential invariantPartial derivativeIntegration by partsTranscendental equationCharacteristic equationPartial differential equationQuasiconvex functionSine-gordon equationLambert w functionOrthogonal groupCodimensionDifferintegralDifferentiable curveDifferential formIntegral transformTangent spaceHolomorphic vector bundleInteger latticeCovariant derivativeSpecial linear groupAffine groupRankIntegral curveGlobal analysisIsometry groupAlgebraic number fieldPolynomialDivergence theoremIntegral domainConjugate gradient methodAdjunction formulaDarboux integralGeneralized inverseIndefinite orthogonal groupAnalytic manifoldChain ruleOperator theoryHopf fibrationModular multiplicative inverseD'alembert's formulaDegenerate bilinear formDivergenceComplex numberOuter measureHyperbolic spaceDirichlet problemDirac delta function