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Ricci calculusTensor fieldTensor operatorTensor algebraCalculus on euclidean spaceEinstein tensorTensor densityTangent spaceMatrix calculusMetric tensorTensor product of hilbert spacesTime dependent vector fieldRicci curvatureGauge theoryExterior covariant derivativeDirac equation in curved spacetimeTensor product of representationsRiemann curvature tensorCovariant derivativeTensors in curvilinear coordinatesCartesian tensorTensor decompositionMultivariable calculusGlobal analysisElectromagnetic tensorTensor contractionRiemannian geometryRiemann spaceMeasure theoryRicci flowCotangent bundleTensor product of fieldsDifferential geometry of surfacesGeometric calculusDifferentiable manifoldFunctional analysisAbsolute differential calculusDyadicsTensorDifferential topologySpacetimeDifferential formGeometric topologyStructure tensorIntegral calculusStein manifoldCalabi-yau manifoldCategory theoryDynamical systems theoryEinstein field equationDifferential structureDifferential geometryOperator theoryTensor productTensor product of modulesDistributionMatrix analysisRicci-flat manifoldInvariant manifoldSpectral theoryGeometric algebraGeometric analysisTopological vector spaceTensor networkTopological quantum field theoryCovariant transformationHilbert spaceGeneralizations of the derivativeDensity on a manifoldRegge calculusClass field theoryCartan connectionProjectivizationSecond covariant derivativeTangent coneSymplectic geometryContinuous linear operatorEuclidean topologyTime-scale calculusComplex geometryGauge covariant derivativeRelativistic lagrangian mechanicsHypercomplex analysisDimensional analysisSurface integralInvariant theoryDifferentiable curveHamiltonian vector fieldVector fieldAlgebraic topologyMultiple-scale analysisLie derivativeCausal structureFunctional calculusRiemannian manifoldLattice field theorySymplectic vector spaceTensor rank decompositionLorentz transformationRepresentation theory