Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic

DOI10.1016/j.difgeo.2011.04.032zbMath1219.53035arXiv0903.0457OpenAlexW2042739957WikidataQ115356864 ScholiaQ115356864MaRDI QIDQ549968

E. V. Nikitenko, Yurii Gennadyevich Nikonorov, Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 19 July 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0457

zbMATH Keywords

homogeneous spacesgeodesics\(\delta \)-homogeneous Riemannian manifoldsClifford-Wolf homogeneous Riemannian manifoldsClifford-Wolf translationsgeneralized normal homogeneous Riemannian manifoldsgeodesic orbit spaceshomogeneous spaces of positive Euler characteristicnormal homogeneous Riemannian manifolds

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

Generalized normal homogeneous spheres ⋮ Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\) ⋮ \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem ⋮ Generalized normal homogeneous Riemannian metrics on spheres and projective spaces

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