Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension ≤6

@article{Aberaouze2021LeftIR,
  title={Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension ≤6},
  author={Ilyes Aberaouze and Mohamed Boucetta},
  journal={Journal of Geometry and Physics},
  year={2021}
}
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Left-Invariant Einstein-like Metrics on Compact Lie Groups

In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric…

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