Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds
Differential Geometry
2018-05-07 v1 Group Theory
Abstract
In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of generalized flag manifolds. We prove that all these left-invariant geodesic orbit metrics on simple Lie groups are naturally reductive.
Cite
@article{arxiv.1805.01582,
title = {Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds},
author = {Huibin Chen and Zhiqi Chen and Joseph A. Wolf},
journal= {arXiv preprint arXiv:1805.01582},
year = {2018}
}