Geodesic Vector fields of invariant $(\alpha,\beta)$-metrics on Homogeneous spaces

zbMath1308.53113arXiv1305.5993MaRDI QIDQ5178246

Mojtaba Parhizkar, Hamid Reza Salimi Moghaddam

Publication date: 13 March 2015

Full work available at URL: https://arxiv.org/abs/1305.5993

zbMATH Keywords

homogeneous spaceinvariant Riemannian metricinvariant \((\alpha, \beta)\)-metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (5)

Left invariant Randers metrics of Berwald type on tangent Lie groups ⋮ Unnamed Item ⋮ Naturally reductive homogeneous space with an invariant \((\alpha,\beta)\)-metric ⋮ On the existence of homogeneous geodesics in homogeneous Kropina spaces ⋮ On the Finsler geometry of the Heisenberg group $H_{2n+1}$ and its extension

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