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Codazzi tensors and harmonic curvature for left invariant metrics

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Publication:1079827
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DOI10.1007/BF00149363zbMath0598.53050OpenAlexW2075269962MaRDI QIDQ1079827

J. E. D'Atri

Publication date: 1985

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00149363


zbMATH Keywords

sectional curvatureleft-invariant metricharmonic curvatureCodazzi tensor


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)


Related Items (4)

Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension \(\leq 6\) ⋮ Killing-Yano 2-forms on 2-step nilpotent Lie groups ⋮ Codazzi Tensor Fields in Reductive Homogeneous Spaces ⋮ Homogeneous four-manifolds with half-harmonic Weyl curvature tensor







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