Generalized normal homogeneous Riemannian metrics on spheres and projective spaces

DOI10.1007/s10455-013-9393-xzbMath1410.53054arXiv1210.7727OpenAlexW3099467231WikidataQ115384587 ScholiaQ115384587MaRDI QIDQ2454014

Yurii Gennadyevich Nikonorov, Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 12 June 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7727

zbMATH Keywords

homogeneous spacesClifford algebrasRiemannian submersionsHopf fibrationsgeneralized normal homogeneous Riemannian manifoldsnormal homogeneous Riemannian manifoldsg.o. spaces(weakly) symmetric spacesClifford-Wolf homogeneous spacesgeneralized normal homogeneous but not normal homogeneousGrassmannian algebra

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

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• Generalized normal homogeneous spheres
• Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\)
• Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic
• Weak Spin(9)-structures on 16-dimensional Riemannian manifolds
• Clifford-Wolf homogeneous Riemannian manifolds
• The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold
• Killing vector fields of constant length on locally symmetric Riemannian manifolds
• Positively curved homogeneous metrics on spheres
• Beginner's course in topology. Geometric chapters. Transl. from the Russian by A. Iacob
• Geometry of real Grassmannian manifolds. I, II
• Homogeneous Einstein metrics on spheres and projective spaces
• The Jacobi equation on naturally reductive compact Riemannian homogeneous spaces
• Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\)
• Cohomogeneity one manifolds with positive Ricci curvature
• Homogeneous spaces of curvature bounded below
• The geometry of the Hopf fibrations
• A family of metric on the 15-dimensional sphere
• Sectional curvatures of a diagonal family of \(\text{Sp} (n+1)\)-invariant metrics on \((4n+3)\)-dimensional spheres
• Some applications of means of convex bodies
• Ein Satz über die Wirkungsräume geschlossener Liescher Gruppen
• Riemannian Manifolds and Homogeneous Geodesics
• $p$-Means of Convex Bodies.
• On \(\delta \)-homogeneous Riemannian manifolds

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