(α, β, γ) – Metric and its Properties

Abstract

In the present paper, we have introduced the concept of (α, β, γ) – metric and find some important tensors for (α, β, γ) – metric, where α = { aij (x) y^i y^j}^1/2, 1- form β = bi (x) y^i and cubic metric. γ = { aijk (x) y^i y^j y^k}^ 1/3. We have also considerd the hypersurface given the equation b(x) = constant of the Finsler space with the(α, β, γ) – metric given by L= L (α, β, γ).