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.
Dans cet article, nous étudions les métriques à géodésiques homogènes, invariantes à gauche, sur des groupes de Lie simples connexes, où les métriques sont définies par les structures de variétés de drapeaux. Nous montrons que toutes ces métriques à géodésiques homogènes invariantes à gauche sur des groupes de Lie simples sont naturellement réductives.
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Huibin Chen 1; Zhiqi Chen 1; Joseph A. Wolf 2
@article{CRMATH_2018__356_8_846_0, author = {Huibin Chen and Zhiqi Chen and Joseph A. Wolf}, title = {Geodesic orbit metrics on compact simple {Lie} groups arising from flag manifolds}, journal = {Comptes Rendus. Math\'ematique}, pages = {846--851}, publisher = {Elsevier}, volume = {356}, number = {8}, year = {2018}, doi = {10.1016/j.crma.2018.06.004}, language = {en}, }
TY - JOUR AU - Huibin Chen AU - Zhiqi Chen AU - Joseph A. Wolf TI - Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds JO - Comptes Rendus. Mathématique PY - 2018 SP - 846 EP - 851 VL - 356 IS - 8 PB - Elsevier DO - 10.1016/j.crma.2018.06.004 LA - en ID - CRMATH_2018__356_8_846_0 ER -
Huibin Chen; Zhiqi Chen; Joseph A. Wolf. Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds. Comptes Rendus. Mathématique, Volume 356 (2018) no. 8, pp. 846-851. doi : 10.1016/j.crma.2018.06.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.06.004/
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