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Symplectic manifoldSecond covariant derivativeFirst fundamental formTangent spacePrincipal curvatureQuadratic functionQuadratic formQuadricSymplectic geometryQuadratic fieldMetric tensorDifferentiable curveDifferential geometry of surfacesDyadicsTangential quadrilateralStructure tensorDual curveTangential and normal componentsParametric surfaceTangential angleBinary quadratic formPseudo-euclidean spaceConic sectionOsculating planeRiemannian geometryDual systemAffine connectionGraph of a functionEuclidean topologyEinstein tensorCotangent bundleTwo-dimensional euclidean spaceSecond moment of areaSesquilinear formElliptic coordinate systemTensor productSecond derivativeComplex projective planeRiemann curvature tensorPolar coordinate systemCross productAlgebraic torusRicci curvatureEllipseDual spaceQuadraticSpin structureCissoid of dioclesSymmetric bilinear formLiouville field theoryCartesian tensorSurfaceDefinite quadratic formMean curvatureEuclidean plane isometryDifferential topologyAtan2Lie derivativeTorsion of a curveHyperbolaBilinear formLocal diffeomorphismDarboux's theoremTangent vectorAsymptotic curveExterior covariant derivativeTangential polygonLinear differential equationSectional curvatureGauss mapDifferential structurePoisson manifoldLie bracket of vector fieldsDifferential formMean curvature flowDirac equation in curved spacetimeIntegral curveBilinear mapMusical isomorphismHessian matrixSurface of revolutionGeometric flowSkew gradientEuler's theoremCurvature formRicci flowRadon transformPlane curveEuclidean groupTensor fieldToroidal coordinatesTangent bundleCalculus on euclidean spacePosition and momentum spacesIsosceles trapezoidDifferential invariantSolid of revolutionInvariants of tensorsDifferential geometryParametrization