Search results for "D'Atri space"

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The classification of 4-dimensional homogeneous D'Atri spaces revisited

2007

Abstract In this short note we correct the (incomplete) classification theorem from [F. Podesta, A. Spiro, Four-dimensional Einstein-like manifolds and curvature homogeneity, Geom. Dedicata 54 (1995) 225–243], we improve a result from [P. Bueken, L. Vanhecke, Three- and four-dimensional Einstein-like manifolds and homogeneity, Geom. Dedicata 75 (1999) 123–136] and we announce the final solution of the classification problem for 4-dimensional homogeneous D'Atri spaces.

Pure mathematicsRiemannian manifoldHomogeneity (statistics)Mathematical analysisD'Atri spaceRiemannian manifoldCurvatureNaturally reductive Riemannian homogeneous spaceComputational Theory and MathematicsHomogeneousClassification theoremGeometry and TopologyMathematics::Differential GeometryGEOMAnalysisMathematicsDifferential Geometry and its Applications
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