ON GENERAL RELATIVELY ISOTROPIC MEAN LANDSBERG METRICS

Document Type: Regular Paper

Authors

Department of Mathematics and Computer Science of Amir-Kabir University, Tehran, I. R. of Iran

Abstract

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

Keywords