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Differentiable manifoldHolomorphic vector bundleSymplectic manifoldDifferential structureComplex lie groupComplex torusRiemannian manifoldMetric tensorStein manifoldComplex differential formTopological manifoldComplex planeSymplectic geometryModuli spaceRiemannian geometryDomainEuclidean topologyCoordinate chartTangent spaceDistributionCoordinate systemGauss mapModuli of algebraic curvesAnalytic manifoldAffine connectionOpen and closed mapsHolomorphic functionCalculus on euclidean spaceStandard topologyTangent bundleDiscrete mathematicsRiemann mapping theoremTangent coneGraph of a functionHolonomic basisCotangent bundleHermitian manifoldExotic sphereNoncommutative geometryRicci calculusLower limit topologyPseudo-riemannian manifoldSpin structureTopological vector spaceOpen ballGeometric topologyRicci curvature3-torusContact geometryDendriteSymmetric spaceDifferential geometry of surfacesProduct topologyRiemann surfaceCompact-open topologyOpen setContinuumDifferential geometryRegular singular pointToric varietyFinsler manifoldHopf fibrationEuclidean groupInversive geometryAlgebraic torusConnected spaceMeromorphic functionEuclidean spaceKlein bottleNormal spaceComplex geometryCoherent sheafSubmanifoldGrothendieck topologyComplex numberAntiderivativeBounding sphereHomogeneous spaceAsymptotically flat spacetimeFoliationAlmost complex manifoldComplex projective spaceRiemann sphereTransversalitySectional curvatureHilbert schemeComplexificationDifferentiable curveGraphAlgebraic geometryIsometry groupOrthogonal groupLocal diffeomorphismMeasurable functionTeichmüller spaceIsometryExponential mapHomotopy theoryRegular spaceDirac equation in curved spacetime