Geodesic orbit Riemannian spaces with two isotropy summands. I

DOI10.1007/s10711-019-00432-6zbMath1428.53063arXiv1704.01913OpenAlexW2606099795MaRDI QIDQ2334098

Zhiqi Chen, Yurii Gennadyevich Nikonorov

Publication date: 6 November 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01913

zbMATH Keywords

weakly symmetric spaceshomogeneous Riemannian manifoldsnaturally reductive spacesgeodesic orbit spacesnormal homogeneous spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (13)

Riemannian generalized C-spaces with homogeneous geodesics ⋮ Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Invariant geodesic orbit metrics on certain compact homogeneous spaces ⋮ Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property ⋮ On invariant Riemannian metrics on Ledger-Obata spaces ⋮ Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces ⋮ Unnamed Item ⋮ On a class of geodesic orbit spaces with abelian isotropy subgroup ⋮ Geodesic orbit spaces of compact Lie groups of rank two ⋮ Spectral properties of Killing vector fields of constant length ⋮ Compact geodesic orbit spaces with a simple isotropy group ⋮ On Randers geodesic orbit spaces ⋮ Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

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