Document Type: Regular Paper
Department of Mathematics and Computer Science, Qom University, Qom, I. R. of Iran
Department of Mathematics and Computer Science, Arak University, Arak, I. R. of Iran
In this paper, we study a class of Finsler metrics which contains the class of P-reducible and
general relatively isotropic Landsberg metrics, as special cases. We prove that on a compact Finsler manifold,
this class of metrics is nothing other than Randers metrics. Finally, we study this class of Finsler metrics with
scalar flag curvature and find a condition under which these metrics reduce to Randers metric.