Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension ≤6
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DOI: 10.1016/j.geomphys.2022.104517
Abstract: We show that any left invariant metric with harmonic curvature on a solvable Lie group is Ricciparallel. We show the same result for any Lie group of dimension ≤ 6. read more here.
Keywords: lie; left invariant; lie groups; solvable lie ... See more keywords