Projective equivalence between two families of Finsler metrics

Abstract

In this paper, we find the necessary and sufficient condition to characterize the projective relation between two subclasses of (α, β)-metrics L = α + 2β + β² ∕ α and L = α² ∕ β on a manifold M with dimension n > 2, where α and α are two Riemannian metrics, β and β are two non zero 1-forms.