Abstract

In this paper, we study a class of Finsler metrics called general (<TEX>${\alpha},{\beta}$</TEX>)-metrics, which are defined by a Riemannian metric <TEX>${\alpha}$</TEX> and a 1-form <TEX>${\beta}$</TEX>. We show that every general (<TEX>${\alpha},{\beta}$</TEX>)-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general (<TEX>${\alpha},{\beta}$</TEX>)-metrics are constructed explicitly.

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