Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds
- Author(s): Chen, H
- Chen, Z
- Wolf, JA
- et al.
Published Web Locationhttps://doi.org/10.1016/j.crma.2018.06.004
© 2018 Académie des sciences In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of flag manifolds. We prove that all these left-invariant geodesic orbit metrics on simple Lie groups are naturally reductive.