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Conformal gravityGauge theoryCovariant transformationConfiguration spaceCovariantCalculus on euclidean spaceGauge covariant derivativeDirac equation in curved spacetimeLiouville field theoryQuantum spacetimeRelativistic lagrangian mechanicsScale invarianceGalilean transformationTransformation geometryLorentz groupProjective geometryLorentz transformationContravariantQuantum geometryQuantum operationLorentz invariantMultiple-scale analysisTheoretical physicsQuantum field theoryInvariantInvariant theoryGeometrodynamicsCongruenceInvariant manifoldGeneral relativityTransformationProjectivizationDifferential geometrySubderivativeDynamical systems theoryDifferential invariantSymplectic geometryRotational invarianceSuperposition principleCategory theoryLagrangian functionSymmetry in quantum mechanicsScalar field theoryConformal field theoryEuclidean groupMultivariable calculusCovariance functionRigid transformationGeneralizations of the derivativeTopological propertyExterior covariant derivativeAffine groupIsometryConceptual physicsGenerating functionMatrix differential equationEquivariant mapSymmetry groupCenter of massCanonical coordinatesConformal mappingAdjoint representationPartial derivativeCalculusHigher-dimensional gamma matricesRiemannian geometryTensor calculusTime-scale calculusConvex conjugateGeometric analysisPrinciple of relativityLorentz covarianceCausal structureExact differential equationHolonomic constraintInversive geometryLagrange's equationsTopological quantum field theoryDimensional analysisGauss's law for gravityCorrelation functionFunctional analysisOrdinary differential equationGlobal analysisPartial differential equationEuclidean topologyEquivalence principleWavefunctionLinear mapLinearized gravityDifferentiable curveCoordinate systemNoncommutative geometryClassical field theoryHomotopy theoryAnalytic geometryHolonomic basisSecond covariant derivativeCovariant derivativeEuclidean vector