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Frame fields in general relativityFour-velocityCongruenceNoncommutative geometryTangent spaceLocal tangent plane coordinatesRiemannian geometryTensor calculusQuadricLie algebra representationHolonomic basisFour-accelerationAdjoint representationLatticeSpin structureTetrahedronClass field theoryBarycentric subdivisionMetric tensorCalculus on euclidean spaceDirac equation in curved spacetimeFour-gradientAffine connectionNoncommutative algebraic geometryPetrov classificationCartan decompositionTetractysTangential quadrilateralGeometric algebraBarycentric coordinate systemTransformation geometryGeometric group theoryLie bracket of vector fieldsExterior covariant derivativeOsculating planeAlgebraic torusCartesian tensorFrobenius algebraRepresentation theoryToroidal coordinatesLiouville field theoryConformal gravitySymplectic geometryTensor algebraHilbert spaceChange of basisTensor contractionStiefel manifoldHopf fibrationEinstein tensorSesquilinear formTangential and normal componentsGauge theoryOrthonormal basisEuclidean domainDual systemElectromagnetic tensorDifferential structureGeneral covarianceTensor product of hilbert spacesBifurcation theoryLow-dimensional topologyConnectionClifford algebraLocal systemConstrained delaunay triangulationRiemann curvature tensorRegge calculusTensor decompositionDual spaceAffine spaceProjective linear groupAlgebraic analysisStein manifoldFrameMulti-index notationCoordinate vectorMultiple-scale analysisInteger latticeMoving frameFour-momentumSchmidt decompositionTensor fieldFunctional analysisHorndeski's theoryBladeEquivariant cohomologyDyadicsLattice field theoryRigged hilbert spaceCotangent bundleTensor rank decompositionIntersection numberTangent coneAbstract index notationEuclidean groupHigher-dimensional gamma matricesPontryagin dualityCoordinate systemLorentz group