Finslerian Hypersurface and its Generalized Matsumoto changed Space

Abstract

The present paper is devoted to study of three kind of hyperplane and generalized Matsumoto β-change of Finsler metric. Here β = bj (x,y)yi , bi(x,y) is h-vector in (Mn,L). the h-vector bi is v covariently constant with respect to Cartan’s connection C and satisfies the relation L bh = hij and not only a function of coordinate but it also a function of directional arguments.