THE GENERALIZED beta-CONFORMAL CHANGE OF FINSLER METRIC

Abstract

In the present paper, we have considered the generalized β-conformal change of Finsler metric L given by L(x, y) = f (e σ(x) L(x, y), β 1) , β 2) , . . ., β m) ), where f is any positively homogeneous function of degree one in e σ L and β 1) , β 2) , . . ., β m) , β r) = b r) i (x) y i and σ(x) is a function of position only, known as conformal factor.The relation between the v-curvature tensor of the original Finsler space and Finsler space obtained by generalized β-conformal change has been obtained.Some basic properties of generalized β-conformal change of Finsler metric have been discussed and obtained useful results.