ON THE PROJECTIVE FLATNESS OF RANDERS CONFORMAL CHANGED FINSLER METRIC

Abstract

In the present paper, we first find the fundamental metric tensor of the Randers conformally transformed special (α, β)-metric F = α+ϵβ +k β2 α (ϵ and k ̸= 0 are constants) and then we find the necessary and sufficient condition for this metric to be locally projectively flat. Math. Subject Classification: 53B40, 53C60