ON CONFORMAL TRANSFORMATION OF LAGRANGE SPACE WITH (Γ, Β)-METRIC

The present paper is a study of the conformal transformation of the Lagrange space with (γ, β)-metric. The conformal transformation of the spray coefficient and Riemann curvature are express in Lagrange space with (γ, β)-metric. Further, find out the condition that a conformal transformation of Lagrange space with (γ, β)-metric is locally dually flat if and only if the transformation is a homothety. Moreover, the conditions for the transform metrics to be Einstein and isotropic mean Berwald curvature are also find.