On Kropina-Randers change of mth-root Finsler metric

Abstract

In the present paper, we consider the Kropina-Randers change of mth root Finsler metric. Firstly, we find the fundamental metric tensors of the Kropina-Randers transformed mth root Finsler metric, and then the necessary and sufficient condition under which the Kropina-Randers change of the mth root Finsler metric is locally dually flat. Further, we prove that the Kropina-Randers change of mth root Finsler metric is locally projectively flat if and only if it is locally Minkowskian. ? 2017 Pushpa Publishing House, Allahabad, India.