On \(\delta \)-homogeneous Riemannian manifolds

DOI10.1016/j.difgeo.2008.04.003zbMath1155.53022OpenAlexW2117655453WikidataQ115357558 ScholiaQ115357558MaRDI QIDQ5900450

Yurii Gennadyevich Nikonorov, Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.04.003

zbMATH Keywords

geodesicsRiemannian submersionClifford-Wolf translationshomogeneous spaces of positive Euler characteristicHomogeneous spacesg.o. spacesnormal homogeneous Riemannian spaces

Mathematics Subject Classification ID

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

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Cites Work

• Homogeneous Buseman G-spaces
• On a class of compact homogeneous spaces. I
• Homogeneous Einstein metrics on spheres and projective spaces
• Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\)
• Riemannian g. o. spaces fibered over irreducible symmetric spaces
• Homogeneous spaces of curvature bounded below
• A metric characterization of Riemannian submersions
• The fundamental equations of a submersion
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• Ein Satz über die Wirkungsräume geschlossener Liescher Gruppen
• Homogeneous spaces with non vanishing Euler characteristics
• Riemannian flag manifolds with homogeneous geodesics
• On Holonomy and Homogeneous Spaces
• Some New Homogeneous Einstein Metrics on Symmetric Spaces
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