Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds

Huibin Chen; Zhiqi Chen; Joseph A. Wolf

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arXiv · 1805.01582

Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds

Huibin Chen·Zhiqi Chen·Joseph A. Wolf

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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.

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Huibin Chen, Zhiqi Chen, Joseph A. Wolf. 2018-05-04. Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds. https://arxiv.org/abs/1805.01582

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