On Kropina Change of m-th Root Finsler Metrics

Abstract

In this paper, we consider Kropina change of $m$-th root Finsler metrics. We find necessary and sufficient condition under which the Kropina change of an $m$-th root Finsler metric be locally dually flat. Then we prove that the Kropina change of an $m$-th root Finsler metric is locally projectively flat if and only if it is locally Minkowskian.

accepted in Ukrainian Mathematical Journal Volume 66, number 1, 2014

References in corpus (2)

• On m-th root Finsler metrics
• On Generalized m-th Root Finsler Metrics