Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property

DOI10.1002/mana.201900536MaRDI QIDQ6093901

Ming Xu, Lei Zhang

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

weakly symmetric spacehomogeneous Finsler spacegeodesic orbit Finsler spacestandard homogeneous \(\big( \alpha_1, \alpha_2 \big)\)-metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46)

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Cites Work

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• Finsler spaces whose geodesics are orbits
• The geometry of compact homogeneous spaces with two isotropy summands
• Sasakian \(\varphi\)-symmetric spaces
• The classification of \(\varphi\)-symmetric Sasakian manifolds
• Riemannian g. o. spaces fibered over irreducible symmetric spaces
• New examples of homogeneous Einstein metrics
• Geodesic orbit Riemannian structures on \(\mathbf{R}^n\)
• Normal homogeneous Finsler spaces
• \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem
• Homogeneous geodesics in generalized Wallach spaces
• Geodesic orbit spheres and constant curvature in Finsler geometry
• Geodesic orbit Riemannian spaces with two isotropy summands. I
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• \((\alpha_1,\alpha_2)\)-metrics and Clifford-Wolf homogeneity
• Clifford-Wolf homogeneous Randers spaces
• Homogeneous Finsler Spaces
• WEAKLY SYMMETRIC FINSLER SPACES
• Compact connected Lie transformation groups on spheres with low cohomogeneity. I
• Homogeneous Einstein Finsler Metrics on -dimensional Spheres