Geodesic orbit manifolds and Killing fields of constant length

zbMath1276.53046arXiv1104.2664MaRDI QIDQ1952460

Yurii Gennadyevich Nikonorov

Publication date: 30 May 2013

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2664

zbMATH Keywords

symmetric spacesRicci curvaturehomogeneous Riemannian manifoldsgeodesic orbit spacesKilling fields of constant length

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 (9)

Geodesic orbit Riemannian structures on \(\mathbf{R}^n\) ⋮ On the structure of geodesic orbit Riemannian spaces ⋮ Killing vector fields of constant length on compact homogeneous Riemannian manifolds ⋮ Structure theory of naturally reductive spaces ⋮ Homogeneity for a class of Riemannian quotient manifolds ⋮ A new construction of naturally reductive spaces ⋮ On left-invariant Einstein Riemannian metrics that are not geodesic orbit ⋮ Spectral properties of Killing vector fields of constant length ⋮ Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

Cites Work

• Clifford-Wolf homogeneous Riemannian manifolds
• Compact Riemannian manifolds with homogeneous geodesics
• Weakly symmetric spaces and spherical varieties
• Riemannian g. o. spaces fibered over irreducible symmetric spaces
• New examples of Riemannian g.o. manifolds in dimension 7
• Riemannian flag manifolds with homogeneous geodesics
• Curvature and Betti Numbers. (AM-32)
• On \(\delta \)-homogeneous Riemannian manifolds
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