6533b870fe1ef96bd12cfd69

RESEARCH PRODUCT

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

Teresa Arias-marco

subject

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

description

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.

yearjournalcountryeditionlanguage
2007-02-01Differential Geometry and its Applications
10.1016/j.difgeo.2006.04.001http://dx.doi.org/10.1016/j.difgeo.2006.04.001