Einstein Riemannian metrics and Einstein-Randers metrics on a class of homogeneous manifolds

DOI10.1016/J.NA.2014.05.003zbMath1297.53035OpenAlexW2012895615WikidataQ115342990 ScholiaQ115342990MaRDI QIDQ2453604

Zhiqi Chen, Yi-Fang Kang

Publication date: 10 June 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.05.003

zbMATH Keywords

homogeneous manifoldsEinstein metricsEinstein-Randers 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) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

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Cites Work

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• Homogeneous Einstein-Randers metrics on spheres
• Einstein metrics on compact Lie groups which are not naturally reductive
• Invariant Einstein metrics on flag manifolds with four isotropy summands
• 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
• Homogeneous Einstein metrics on flag manifolds
• Einstein-Randers metrics on some homogeneous manifolds
• INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS
• New Invariant Einstein Metrics on Generalized Flag Manifolds

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