On the structure of geodesic orbit Riemannian spaces

DOI10.1007/s10455-017-9558-0zbMath1381.53088arXiv1611.01050OpenAlexW3098785015WikidataQ115384565 ScholiaQ115384565MaRDI QIDQ1674873

Yurii Gennadyevich Nikonorov

Publication date: 26 October 2017

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01050

zbMATH Keywords

homogeneous Riemannian manifoldsymmetric spacegeodesic orbit Riemannian space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (25)

Geodesic orbit Riemannian structures on \(\mathbf{R}^n\) ⋮ Riemannian generalized C-spaces with homogeneous geodesics ⋮ Two-step homogeneous geodesics in pseudo-Riemannian manifolds ⋮ Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Geodesics as products of one‐parameter subgroups in compact lie groups and homogeneous spaces ⋮ Invariant geodesic orbit metrics on certain compact homogeneous spaces ⋮ The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Geodesic orbit Finsler \((\alpha,\beta)\) metrics ⋮ On invariant Riemannian metrics on Ledger-Obata spaces ⋮ Geodesic graphs in Randers g.o. spaces ⋮ On homogeneous geodesics and weakly symmetric spaces ⋮ Geodesic orbit Finsler spaces with \(K \geq 0\) and the (FP) condition ⋮ Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces ⋮ Riemannian \(M\)-spaces with homogeneous geodesics ⋮ 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 ⋮ A metric proof that $\delta $-homogeneous manifolds are geodesic orbit 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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