Homogeneous manifolds admitting non-Riemannian Einstein-Randers metrics

DOI10.1007/s11425-014-4932-xzbMath1330.53095OpenAlexW1982472418WikidataQ115378062 ScholiaQ115378062MaRDI QIDQ887048

Shaoqiang Deng, Zhiqi Chen, Ke Liang

Publication date: 27 October 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4932-x

zbMATH Keywords

homogeneous manifoldsEinstein metricsRanders metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

Homogeneous Einstein-Randers metrics on some Stiefel manifolds ⋮ Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds ⋮ Unnamed Item ⋮ New invariant Einstein-Randers metrics on Stiefel manifolds \(V_{2p}\mathbb{R}^n=\mathrm{SO}(n)/\mathrm{SO}(n-2p)\) ⋮ New Einstein-Randers metrics on homogeneous spaces arising from unitary groups

Cites Work

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• Homogeneous Einstein-Randers metrics on spheres
• Einstein metrics on compact Lie groups which are not naturally reductive
• Some Einstein-Randers metrics on homogeneous spaces
• Homogeneous Einstein-Randers spaces of negative Ricci curvature
• The theory of sprays and Finsler spaces with applications in physics and biology
• Zermelo navigation on Riemannian manifolds
• Invariant Einstein-Randers metrics on Stiefel manifolds
• Einstein-Randers metrics on some homogeneous manifolds
• Invariant Randers metrics on homogeneous Riemannian manifolds

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