On generalized Kropina change of mth root Finsler metric

Abstract

In the present paper, we consider generalized Kropina change of [Formula: see text]th root Finsler metric and prove that it is locally projectively flat if and only if it is locally Minkowskian. We also establish a necessary and sufficient condition under which the generalized Kropina change of [Formula: see text]th root metric is locally dually flat. Further it is proved that a generalized Kropina change of [Formula: see text]th root metric cannot be conformal to an [Formula: see text]th root Finsler metric.