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 Finsler metrics with reversible geodesics Bull. Korean Math. Soc.Published online September 28, 2020 Qiaoling Xia Hangzhou Dianzi University Abstract : In this paper, we give an equivalent characterization for general $(\alpha, \beta)$-metrics with reversible geodesics when the dimension of the manifold is greater than $2$. Keywords : Finsler metric; general $(\alpha, \beta)$-metric; reversible geodesic MSC numbers : 53B40, 53C22, 58B20 Full-Text :