On the Riemann and Ricci Curvature of Finsler Spaces with Special (α, β)- Metric
Abstract
In this paper, we study the curvature properties of the special (α, β)- metric
β 2 (where ǫ, k 6 = 0 are constants). We find the expressions for Riemann
α curvature and Ricci curvature of the special (α, β)-metric, when β the 1- form is a killing F = α + ǫβ + k form of constant length. We give a characterization of the projective flatness for the special (α, β)- metric.