scientific article

zbMath1389.53100MaRDI QIDQ2970341

Bernadett Aradi

Publication date: 30 March 2017

Full work available at URL: http://www.ejpam.com/index.php/ejpam/article/view/2260

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zbMATH Keywords

geodesicsLie groupgeneralized Berwald manifoldaveraging processleft-invariant Finsler function

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Lie groups (22E99)

Related Items (7)

Generalized Berwald spaces with \((\alpha, \beta)\)-metrics ⋮ Left invariant Randers metrics of Berwald type on tangent Lie groups ⋮ Cheng–Shen conjecture in Finsler geometry ⋮ Unnamed Item ⋮ Monochromatic metrics are generalized Berwald ⋮ Conjugate and conformally conjugate parallelisms on Finsler manifolds ⋮ On the Finsler geometry of the Heisenberg group $H_{2n+1}$ and its extension

Cites Work

• Structure and Geometry of Lie Groups
• Ten ways to Berwald manifolds -- and some steps beyond
• Invariant Finsler metrics on homogeneous manifolds
• Connections, Sprays and Finsler Structures
• A characterization of holonomy invariant functions on tangent bundles
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