Document Type: Regular Paper
Department of Mathematics and Computer Science of Amir-Kabir University, Tehran, I. R. of Iran
In this paper the general relatively isotropic L -curvature Finsler metrics are studied. It is
shown that on constant relatively Landsberg spaces, the concepts of weakly Landsbergian, Landsbergian
and generalized Landsbergian metrics are equivalent. Some necessary conditions for a relatively
isotropic L -curvature Finsler metric to be a Riemannian metric are also found.