S - Curvature of Homogeneous Finsler space with special (a, b)-metrics

Abstract

In this paper, we derive the formula for S-curvature of homogeneous Finsler space with special (α, β)-metric F=α+(β^2_/α) and further proved that the almost isotropic S-curvature must vanishes S-curvature. Also we find the explicit formula of the mean Berwald curvature.