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Riemannian geometryStatistical manifoldRiemannian manifoldDifferential geometry of surfacesRicci curvatureDivergenceRicci flowMean curvature flowGaussian measureSymplectic manifoldGeometric flowInformation geometryRicci-flat manifoldBregman divergenceProbability measureRiemann surfaceFinsler manifoldSpin structureSectional curvatureSymmetric spaceMetric tensorFisher informationExponential mapDirac equation in curved spacetimeCotangent bundleHyperbolic secant distributionMean curvatureDirichlet-multinomial distributionHarmonic mapHolomorphic vector bundleRiemann curvature tensorContact geometryDistributionAffine connectionClassical wiener spaceSymplectic geometrySubmanifoldSmoothnessFisher kernelDifferential topologyHopf fibrationMinkowski spaceMinkowski distanceEuclidean topologyModuli spaceGeometric topologyIsometry groupQuantum fisher informationHermitian connectionPoisson manifoldFractal derivativeMusical isomorphismStein manifoldProjection-valued measureNoncentral f-distributionGeometric measure theoryDe rham cohomologyPseudo-riemannian manifoldMetrizable spaceScalar curvatureGaussian processCoarea formulaComplex torusCalculus on euclidean spaceHolomorphic functionMeasurable functionHodge theoryDiscrete spectrumLevi-civita connectionExterior covariant derivativeAsymmetric laplace distributionBump functionHyperbolic groupModuli of algebraic curvesLefschetz fixed-point theoremPoisson point processNoncommutative geometryEuclidean domainCauchy surfaceDensity on a manifoldMorse homologyCantor spaceDifferential geometryGaussian q-distributionTrapezoidal distributionDifferential structureKilling vector fieldLocal diffeomorphismContinuumCongruenceMultivariate normal distributionParametrizationRadial functionDirichlet distributionDegree of a continuous mappingProbability-generating functionEuclidean groupProbability density functionPetrov classificationIsometry