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Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension $\leq6$
- Publication Year :
- 2021
-
Abstract
- 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 $\leq$ 6.<br />Comment: 17 pages
- Subjects :
- Mathematics - Differential Geometry
22E15, 53C20, 22E25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2108.06512
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2022.104517