On ϑ – Curvature Tensor of Finslerian Hypersurfaces Given by Generalised Kropina Type Metric

Abstract

 The purpose of the present paper is to find angular metric tensor, carton torsion tensor, vcurvature tensor in a generalized Kropina space and the relation between v -curvatures with respect to Cartan connection CΓ of a Finsler space Fⁿ = (Mⁿ, L) and a Finsler space F^*n = (Mⁿ, L^*) whose metric L^* is derived from the metric L of Fⁿ by L^* (x, y) = μ^1/2 (x, y) β^1/2 (x, y), where μ^1/2 (x, y) = (L^1/2 + β^1/2) (x, y) and β = b_i(x) yⁱ. The Finsler space F^*n is called a generalized Kropina space under certain conditions.