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

Title & Authors
PROJECTIVELY FLAT FINSLER SPACES WITH CERTAIN (α, β)-METRICS
Park, Hong-Suh; Park, Ha-Yong; Kim, Byung-Doo; Choi, Eun-Seo;

Abstract
The ($\small{\alpha,\;\beta}$)-metric is a Finsler metric which is constructed from a Riemannian metric $\small{\alpha}$ and a differential 1-form $\small{\beta}$. In this paper, we discuss the projective flatness of Finsler spaces with certain ($\small{\alpha,\;\beta}$)-metrics ([5]) in a locally Minkowski space.
Keywords
Finsler space;($\small{\alpha, \beta}$)-metric;projectively flat;locally Minkowski space;flat-parallel;associated Riemannian space;
Language
English
Cited by
1.
Projectively Flat Finsler Space of Douglas Type with Weakly-Berwald (α,β)-Metric, International Journal of Pure Mathematical Sciences, 2017, 18, 1
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