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Spin connectionDifferential geometry of surfacesSpinorSymplectic manifoldSymplectic geometryRiemannian geometrySectional curvatureDistributionMetric tensorSpin representationExterior covariant derivativeAffine connectionRicci curvatureGeometric flowDifferential structureDifferential formLog structureCotangent bundleSymmetric spaceEinstein tensorDirac equation in curved spacetimeSubmanifoldCartan decompositionGauge theoryHolomorphic vector bundleRicci flowTangent spaceGeometric topologySymplectic vector spaceMusical isomorphismPetrov classificationDifferentiable curveRicci-flat manifoldConnectorLocal diffeomorphismCurvature formTangent bundleCausal structureFierz identityDifferential topologyFinsler manifoldPoisson manifoldMean curvature flowHopf fibrationScalar curvatureMorse theoryStein manifoldEuclidean topologyCodimensionCartan connectionRiemann surfaceDensity on a manifoldOsculating planeDifferential invariantFibrationOrientabilityRiemannian manifoldAssociated bundleToric varietyHolonomic basisTorsion tensorInvariant manifoldEuler classRiemann curvature tensorComplex differential formAffine groupExponential mapMinkowski spaceTangent coneCharts on soDifferentiable manifoldTensor calculusConnectionHermitian connectionAlgebraic torusHamiltonian vector fieldChern classNoncommutative geometryGravitational instantonModuli of algebraic curvesSpin networkResolvent formalismRicci calculusHarmonic mapGlobal analysisSpin-weighted spherical harmonicsFisher information metricDifferential geometryAdjunction formulaSpectral tripleGyrationRegge calculusDarboux's theoremBirational geometrySymplectomorphismHermitian manifoldPolarizationComplex lie groupSecond fundamental formCoherent sheaf