Compact simple Lie groups admitting left-invariant Einstein metrics that are not geodesic orbit

DOI10.1016/J.CRMA.2017.11.018zbMath1390.53039OpenAlexW2771589227WikidataQ115358178 ScholiaQ115358178MaRDI QIDQ1704650

Zhiqi Chen, Huibin Chen, Shaoqiang Deng

Publication date: 12 March 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.11.018

zbMATH Keywords

Einstein metricnaturally reductive metricgeodesic orbit metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (6)

Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds ⋮ Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces ⋮ Unnamed Item ⋮ On left-invariant Einstein metrics that are not geodesic orbit ⋮ On Randers geodesic orbit spaces

Cites Work

• Unnamed Item
• Classification of generalized Wallach spaces
• New Einstein metrics on the Lie group \(\mathrm{SO}(n)\) which are not naturally reductive
• Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\)
• New Einstein metrics on \(E_7\)
• Non-naturally reductive Einstein metrics on exceptional Lie groups
• EINSTEIN METRICS ON THE SYMPLECTIC GROUP WHICH ARE NOT NATURALLY REDUCTIVE
• Invariant Einstein metrics on three-locally-symmetric spaces

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