On Flag Curvature of Homogeneous Randers Spaces

DOI10.4153/CJM-2012-004-6zbMath1259.53048OpenAlexW2324921956MaRDI QIDQ4907623

Zhiguang Hu, Shaoqiang Deng

Publication date: 4 February 2013

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2012-004-6

zbMATH Keywords

flag curvaturehomogeneous Randers manifoldstwo-step nilpotent Lie groupsDouglas spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46)

Related Items (12)

Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups ⋮ Characterization of 3-dimensional left-invariant locally projectively flat Randers metrics ⋮ On non-positively curved homogeneous Finsler metrics ⋮ Left invariant Randers metrics of Berwald type on tangent Lie groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Geometry of Some (α, β)-Metrics on the Nilpotent Groups H(p, r) ⋮ Naturally reductive homogeneous space with an invariant \((\alpha,\beta)\)-metric ⋮ On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric ⋮ Left invariant lifted $(\alpha,\beta)$-metrics of Douglas type on tangent Lie groups ⋮ On the Finsler geometry of the Heisenberg group $H_{2n+1}$ and its extension ⋮ On Homogeneous Randers Metrics

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