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Cartan connectionConnectionAffine connectionExterior covariant derivativeHermitian connectionConnectorCurvature formSymplectic manifoldLocal diffeomorphismSpin connectionConnection formSpin structureFiber bundleCotangent bundleRiemannian geometryHopf fibrationDarboux's theoremJet bundleHurewicz theoremGauge theoryEuler's theoremFibrationTangent bundleSymplectic geometryAdjunction formulaGeometric flowSeifert surfaceHarmonic mapSerre dualityContact geometryPoisson manifoldHodge theoryDe rham cohomologyGauss-bonnet theoremFisher information metricHolomorphic vector bundleDifferential geometry of surfacesHarnack's curve theoremMean curvature flowDirac equation in curved spacetimeMorse homologyEinstein tensorRicci flowEuler classFinsler manifoldRiemannian manifoldDistributionAssociated bundleEuclidean topologyRicci curvatureTangent coneMoving frameCantor spaceFractal derivativeClosed graph theoremLevi-civita connectionCongruenceCobordismLocal homeomorphismGalois connectionCalculus on euclidean spaceTietze extension theoremRicci-flat manifoldTangent spaceNoncommutative geometryDifferential topologyTautological bundleEquivariant cohomologySectionMetric connectionFrobenius algebraBump functionCoherent sheafGeometric topologyCanonical mapNatural transformationLefschetz hyperplane theoremDifferentiable curveDifferential structureCofibrationMetric tensorCauchy surfaceHodge structureHodge star operatorMusical isomorphismFrobenioidMean curvatureHomotopical connectivitySegre embeddingSubmanifoldGrothendieck topologyHomeomorphismConvex conjugateFirst fundamental formExponential mapDifferentiable manifoldLegendre transformationIsogenyBregman divergenceModel category