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Gauge theoryAds/cft correspondenceConnectionDirac equation in curved spacetimeClass field theoryCausal structureQuantum geometryGell-mann and low theoremGeometric analysisGauge covariant derivativeSpin structurePrincipal curvatureCorrelation functionTopological quantum field theoryGeometric phaseCurvature formFeigenbaum constantsGauss-bonnet theoremQuantum entanglementQuantum field theoryEinstein field equationsCongruenceSpin connectionNoncommutative geometryGreen's functionMirror symmetryRicci flowLiouville field theoryDegree of coherencePhase spaceGeometry and topologyGeometric quantizationPetrov classificationBures metricDifferentiable curveEinstein field equationDifferential geometry of surfacesPerturbation theoryCoupling constantConformal gravityLorentz groupYang-mills theoryOsculating planeTransversalityBifurcation theoryGeneral covariancePotential gradientGermSymplectic geometryLattice field theoryElectromagnetic tensorSpectral tripleGeometric flowBispinorCauchy surfaceRiemannian geometryGeometrodynamicsMean curvaturePosition and momentum spacesRicci curvatureConfiguration spaceDarboux's theoremLaplace expansionWavefunctionCartan connectionSectional curvatureGravitoelectromagnetismTopological propertyTangent spaceBeta functionHamiltonian vector fieldGauss's lawLorentz transformationEinstein tensorLattice gauge theoryClassical field theoryRadial curveDouble copy theoryCanonical commutation relationAffine connectionGalois connectionConnection formSecond covariant derivativeMean curvature flowMetric tensorGlobal fieldVector fieldPositive energy theoremGeometric topologyGauge fixingFriedmann equationsRadial distribution functionRelativistic lagrangian mechanicsBirational geometryEuler's theoremCalabi-yau manifoldBraneT-dualityExterior covariant derivativeNon-euclidean geometry