ON GENERAL RELATIVELY ISOTROPIC MEAN LANDSBERG METRICS

Abstract

The general relatively isotropic mean Landsberg metrics contain the general relativelyisotropic Landsberg metrics. A class of Finsler metrics is given, in which the mentioned two conceptsare equivalent. In this paper, an interpretation of general relatively isotropic mean Landsberg metrics isfound by using C-conformal transformations. Some necessary conditions for a general relativelyisotropic mean Landsberg metric, as well as generalized Landsberg metric to be a Riemannian metric arealso found.