ON CONFORMAL TRANSFORMATION OF m-th ROOT FINSLER METRIC

Abstract

The purpose of the present paper is to study the conformaltransformation of $m$-th root Finsler metric. The spraycoefficients, Riemann curvature and Ricci curvature of conformallytransformed $m$-th root metrics are shown to be certain rationalfunctions of direction. Further, under certain conditions it isshown that a conformally transformed $m$-th root metric is locallydually flat if and only if the transformation is a homothety.Moreover the conditions for the transformed metrics to be Einsteinand isotropic mean Berwald curvature are also found.