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Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds

Published Web Location

https://doi.org/10.1016/j.crma.2018.06.004
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 flag manifolds. We prove that all these left-invariant geodesic orbit metrics on simple Lie groups are naturally reductive.

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