On Kropina-Randers change of mth-root Finsler metric

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2017, 2017

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Pushpa Publishing House

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.

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Shanker, G., & Baby, S. A. (2017). On Kropina-Randers change of mth-root Finsler metric. JP Journal of Geometry and Topology, 20(2), 115-128. doi: 10.17654/GT020020115