On invariant Riemannian metrics on Ledger-Obata spaces

DOI10.1007/s00229-018-1029-9zbMath1410.53052arXiv1707.07115OpenAlexW3103938072WikidataQ115388312 ScholiaQ115388312MaRDI QIDQ1728389

Yury A. Nikolayevsky, Yurii Gennadyevich Nikonorov

Publication date: 22 February 2019

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07115

zbMATH Keywords

naturally reductive spaceLedger-Obata spacegeodesic orbit manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (12)

Invariant geodesic orbit metrics on certain compact homogeneous spaces ⋮ Harmonic 3-forms on compact homogeneous spaces ⋮ Homogeneous 8-manifolds admitting invariant Spin(7)-structures ⋮ 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 ⋮ On the geodesic orbit property for Lorentz manifolds ⋮ Spectral properties of Killing vector fields of constant length ⋮ Geodesic orbit Riemannian spaces with two isotropy summands. I ⋮ 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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