On left-invariant Einstein metrics that are not geodesic orbit
Sign Up to like & getrecommendations! Published in 2019 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2019.07.003
Abstract: Abstract In this article, we prove that compact simple Lie groups SO ( n ) ( n > 12 ) admit at least two left-invariant Einstein metrics that are not geodesic orbit, which gives a… read more here.
Keywords: geodesic orbit; einstein metrics; invariant einstein; metrics geodesic ... See more keywords
Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension ≤6
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Geometry and Physics"
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
Inverse problem of left invariant sprays on Lie groups
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x21500762
Abstract: In this paper, we discuss inverse problem in spray geometry. We find infinitely many sprays with non-diagonalizable Riemann curvature on a Lie group, these sprays are not induced by Finsler metrics. We also study left… read more here.
Keywords: lie groups; invariant sprays; formula see; left invariant ... See more keywords