In this paper, we study a class of Finsler metrics that is defined by a Riemannian metric α and a 1-form β on a manifold M. They are called (α, β)-metrics and have many applications in Physics, Biology, Control Theory and etc. We consider (α, β)-metric F = α(e^s + ϵs), s :=β/α where ϵ ̸=0 is a constant. It is called generalized Randers change (G.R.C.) exponential (α, β)- metric ~F = αe^s. We prove that if F has almost vanishing Xi-curvature then Xi= 0.
