Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds |
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| Authors: | Huibin Chen Zhiqi Chen Joseph A. Wolf |
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| Affiliation: | 1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China;2. Department of Mathematics, University of California, Berkeley CA 94720-3840, USA |
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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 flag manifolds. We prove that all these left-invariant geodesic orbit metrics on simple Lie groups are naturally reductive. |
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