On Holomorphic Curvature of Complex Finsler with special (α, β)−Metric

Abstract

The notion of the holomorphic curvature for a Complex Finsler space (M, F) is defined with respect to the Chern complex linear connection on the pull-back tangent bundle. This paper is about the fundamental metric tensor, inverse tensor and as a special approach of the pull-back bundle is devoted to obtain the Riemannian curvature and holomorphic curvature of Complex Finsler with special (α, β)-metric