ON GENERAL RELATIVELY ISOTROPIC L-CURVATURE FINSLER METRICS

Abstract

In this paper the general relatively isotropic L -curvature Finsler metrics are studied. It isshown that on constant relatively Landsberg spaces, the concepts of weakly Landsbergian, Landsbergianand generalized Landsbergian metrics are equivalent. Some necessary conditions for a relativelyisotropic L -curvature Finsler metric to be a Riemannian metric are also found.