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

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

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We show that any left invariant metric with harmonic curvature on a solvable Lie group is Ricci-parallel. We show the same result for any Lie group of dimension & nbsp; <= 6. (C) 2022 Elsevier B.V. All rights reserved.

Left invariant metricLie groupsHarmonic curvatureMANIFOLDS

Aberaouze, Ilyes、Boucetta, Mohamed

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Univ Cadi Ayyad

2022

Journal of geometry and physics

Journal of geometry and physics

SCI
ISSN:0393-0440
年,卷(期):2022.177
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