Projective changes between two Finsler spaces with (α, β)-metrics

الأصل · EN

In the present paper, we find the conditions to characterize projective change between two (α, β)-metrics, F = α+ εβ+ kβ²α (ε and k ≠ 0 are constants) and a Matsumoto metric F=α²/α -β on a manifold with dimension n ≥ 3 where α and α are two Riemannian metrics, β and β are two non-zero 1-forms. Moreover, we study such projective changes when F has some special curvature properties.