Projective change between G.R.C. exponential metrics and Randers metrics

In this paper, we find the necessary and sufficient conditions under which two classes of (α, β)-metrics, i.e. generalized Randers change (G.R.C.) exponential metric F = α exp(β/α) + ϵβ and Randers metric F˜ = ˜α + β˜ are projectively related. Note that α and ˜α are Riemannian metrics, β and β˜ are 1-forms on a manifold M with dimension n > 2 and ϵ ̸= 0 is a constant. Furthermore, we study this projective relation when F has special curvature properties.