Invariant vector field on a homogeneous Finsler space with special (α,β)-metric

DOI10.22098/JFGA.2020.1235OpenAlexW3184564957MaRDI QIDQ5885871

Mahnaz Ebrahimi

Publication date: 30 March 2023

Full work available at URL: http://jfga.uma.ac.ir/article_1235_9d2d00e444a73400bb44984776920e33.pdf

zbMATH Keywords

invariant vector fieldgeodesic vectorhypercomplex manifoldhomogeneous Finsler space\(L\)-metric

Mathematics Subject Classification ID

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

Cites Work

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• Homogeneous geodesics in homogeneous Finsler spaces
• Invariant \((\alpha , \beta)\)-metrics on homogeneous manifolds
• Hyper-Kähler metrics conformal to left invariant metrics on four-dimensional Lie groups
• The group of isometries of a Finsler space.
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
• Homogeneous Finsler Spaces
• Invariant Randers metrics on homogeneous Riemannian manifolds
• Hypercomplex structures on four-dimensional Lie groups
• On an Asymmetrical Metric in the Four-Space of General Relativity
• Invariant Affine Connections on Homogeneous Spaces
• Homogeneous geodesics in homogeneous Randers spaces - examples

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