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Affine connectionExponential mapCoordinate chartSymplectic manifoldMetric tensorLocal diffeomorphismCotangent bundleTangent spaceExterior covariant derivativeLocal tangent plane coordinatesHolonomic basisRiemannian manifoldCoordinate systemTangent planeDifferential formEuler's formulaSurface normalLocal systemMean curvatureRiemannian geometrySymplectic geometryPseudo-riemannian manifoldGauss mapDifferential structureHolomorphic functionCenter of curvatureHarmonic mapTangential and normal componentsContact geometryNoncommutative geometryTransversalityEuclidean topologyVector fieldSpin structureDifferentiable manifoldGradientTangential angleCalculus on euclidean spaceRankDistance from a point to a planeTangent coneOsculating planeSymmetric spaceRadial functionProjective frameFirst fundamental formOsculating circleMusical isomorphismFoliationRegular singular pointHolonomyAffine groupEuclidean groupDifferentiable curveP-adic normOrthogonal groupDistributionPoisson manifoldOrdered exponentialCotangent spaceRadial curvePrincipal curvatureLocal homeomorphismNeighbourhood systemHolomorphic vector bundleCartesian coordinatesParametric equationDirac equation in curved spacetimeGraph of a functionExponential objectTangent bundleSobolev spaceProjectionSecond covariant derivativeAffine varietyDifferential geometry of surfacesProjectivizationHopf fibrationCoarea formulaElliptic coordinate systemDifferential invariantPushforwardPolar coordinatesEinstein tensorExotic sphereProduct topologyLog-polar coordinatesPullbackConformally flat manifoldSecond fundamental formRicci curvatureGeometric flowMorphism of algebraic varietiesTopological vector spaceHodge star operatorAlgebraic torusTopological manifoldExterior derivativeEigenfunctionEllipsoidal coordinates