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Coordinate mapChartAtlasDifferentiable manifoldCoordinate systemContact geometryCovering spaceGauss mapTransition functionManifoldDistributionTangent spaceHomogeneous coordinateRiemannian manifoldDiffeomorphismCurveConformal geometryQuotient mapDifferential topologyCollineationConformal mappingCohomologyPseudo-riemannian manifoldHomeomorphismCobordismPoincaré spaceCorrelationRegular mapDifferential geometryPullbackBoundary homomorphismTranslateHomographyQuotient spaceMap projectionTeichmüller spaceVector fieldContact manifoldHomologyCartesian coordinateCodifferentialGraphCoordinateHomogeneous spaceMetric tensorAffine differential geometryCoordinate axisComplex lineSchwarz-christoffel mappingOrbifoldHomothetyPhase spaceBanach spaceGrothendieck-riemann-roch theoremAffine transformationCartesian coordinatesClassifying spaceHyperbolic planeShape operatorLinear transformationGraphonTangent bundleSchlegel diagramCartesian productKlein geometryCartesian spaceCurvatureDifferential structureTopological vector spacePlane graphGeometryIdentification mapAffine varietyTransition mapIdentification spaceDifferential formStereographic projectionConnexHolonomyRotationHomotopyProjectionHomomorphismAnnulusFactor spaceRegular spaceMathematical spaceN spaceCartesian planeTopological propertyFlatCotranslationVector spaceGeodesicityRiemannian geometryHyperplaneCorankDeformation retractTranslationGeometric analysis