Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy submodules

DOI10.1007/s00031-017-9464-3zbMath1404.53054arXiv1610.09547OpenAlexW2963727519MaRDI QIDQ1630653

Nikolaos Panagiotis Souris

Publication date: 10 December 2018

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09547

zbMATH Keywords

Stiefel manifoldhomogeneous manifoldgeodesic orbit manifoldGO-metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Invariant geodesic orbit metrics on certain compact homogeneous spaces ⋮ Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces ⋮ Unnamed Item ⋮ Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds ⋮ On a class of geodesic orbit spaces with abelian isotropy subgroup ⋮ On left-invariant Einstein Riemannian metrics that are not geodesic orbit ⋮ Geodesic orbit spaces of compact Lie groups of rank two ⋮ Compact geodesic orbit spaces with a simple isotropy group ⋮ On Randers geodesic orbit spaces

Cites Work

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• Riemannian flag manifolds with homogeneous geodesics
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• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Weakly symmetric Riemannian manifolds with reductive isometry group
• On the Classification of Transitive Effective Actions on Stiefel Manifolds
• On \(\delta \)-homogeneous Riemannian manifolds
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