On generalized ۴-th root Finsler metrics

In this paper, we prove that every generalized cubic Finsler metric with vanishing Landsberg curvature is a Berwald metric. This yields an extension of Matsumoto theorem for the cubic metric. Then, we show that every generalized ۴-th root Finsler metric with vanishing Landsberg curvature is a Berwald metric.

کلیدواژه ها:

۴-th root metrics ، cubic metric ، Landsberg metric ، Berwald metric