On Kropina Change of m-th Root Finsler Metrics
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🧮 math.DG
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changefinslerkropinarootlocallyflatmetricmetrics
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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.
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