FINSLER METRICS WITH SPECIAL LANDSBERG CURVATURE

Document Type: Regular Paper

Authors

1 Department of Mathematics and Computer Science, Qom University, Qom, I. R. of Iran

2 Department of Mathematics and Computer Science, Arak University, Arak, I. R. of Iran

Abstract

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.

Keywords