PROJECTIVELY FLAT FINSLER SPACES WITH CERTAIN (α, β)-METRICS

Abstract

The ($\alpha,\;\beta$)-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\beta$. In this paper, we discuss the projective flatness of Finsler spaces with certain ($\alpha,\;\beta$)-metrics ([5]) in a locally Minkowski space.

Keywords

• Finsler space;
• ($\alpha, \beta$)-metric;
• projectively flat;
• locally Minkowski space;
• flat-parallel;
• associated Riemannian space

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References

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1. Projectively Flat Finsler Space of Douglas Type with Weakly-Berwald (α,β)-Metric vol.18, 2017, https://doi.org/10.18052/www.scipress.com/IJPMS.18.1