Einstein-Randers metrics on some homogeneous manifolds

DOI10.1016/j.na.2013.06.014zbMath1282.53036OpenAlexW2016888276WikidataQ125589164 ScholiaQ125589164MaRDI QIDQ2434221

Ke Liang, Shaoqiang Deng, Zhiqi Chen

Publication date: 5 February 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.2013.06.014

zbMATH Keywords

Einstein metrichomogeneous manifoldEinstein-Randers metric

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) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (7)

Homogeneous Einstein-Randers metrics on some Stiefel manifolds ⋮ Homogeneous manifolds admitting non-Riemannian Einstein-Randers metrics ⋮ Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds ⋮ Unnamed Item ⋮ Einstein Riemannian metrics and Einstein-Randers metrics on a class of homogeneous manifolds ⋮ 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

• 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
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• 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
• Characteristic Classes and Homogeneous Spaces, I
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