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

Huibin Chen; Joseph A. Wolf; Zhiqi Chen

arxiv: 1805.01582 · v1 · pith:V6IXPVQ4new · submitted 2018-05-04 · 🧮 math.DG · math.GR

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

Huibin Chen , Zhiqi Chen , Joseph A. Wolf This is my paper

classification 🧮 math.DG math.GR

keywords metricsgeodesicgroupsorbitsimpleflaggeneralizedleft-invariant

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

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