A metric proof that $\delta $-homogeneous manifolds are geodesic orbit manifolds

DOI10.4064/cm8222-7-2020zbMath1469.53095OpenAlexW3116965708MaRDI QIDQ4997560

Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8222-7-2020

zbMATH Keywords

geodesic orbit manifold\(\delta\)-homogeneous manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

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• Clifford-Wolf homogeneous Riemannian manifolds
• Geodesics in weakly symmetric spaces
• Homogeneous spaces of curvature bounded below
• On the structure of geodesic orbit Riemannian spaces
• On homogeneous geodesics and weakly symmetric spaces
• Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
• A.D. Alexandrov spaces with curvature bounded below
• Homogeneous manifolds whose geodesics are orbits. Recent results and some open problems
• On \(\delta \)-homogeneous Riemannian manifolds

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