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- W2024482116 abstract "Abstract In this paper, we study a long existing open problem on Landsberg metrics in Finsler geometry. We consider Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We show that a regular Finsler metric in this form is Landsbergian if and only if it is Berwaldian. We further show that there is a two-parameter family of functions, ɸ = ɸ( s ), for which there are a Riemannian metric 𝜶 and a 1-form ᵦ on a manifold M such that the scalar function F = 𝜶ɸ(ᵦ/𝜶) on TM is an almost regular Landsberg metric, but not a Berwald metric." @default.
- W2024482116 created "2016-06-24" @default.
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- W2024482116 date "2009-12-01" @default.
- W2024482116 modified "2023-10-06" @default.
- W2024482116 title "On a Class of Landsberg Metrics in Finsler Geometry" @default.
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- W2024482116 doi "https://doi.org/10.4153/cjm-2009-064-9" @default.
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