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Information Journal Paper

Title

On Kropina transformation of exponential (α,β)-metrics

Pages

  34-51

Abstract

 In this paper‎, ‎we study the Kropina transformation of exponential (α,β)-metric F=α\exp(s),  s:=β/α‎. ‎We characterize the conditions under which this class of (α,β)-metric is locally projectively flat‎, ‎locally dually flat‎, ‎and Douglas metric‎. ‎Based on‎, ‎we show that the Kropina transformation of an exponential (α,β)-metric is locally projectively flat‎, ‎locally dually flat and Douglas metric if and only if the exponential (α,β)-metric is locally projectively flat‎, ‎locally dually flat and Douglas metric‎, ‎respectively.

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