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In this paper we study about the basic geometrical properties for R-complex Finsler space which is equipped with Cubic (α,β)–metric and the metric is defined by (α + β)3/α2. We obtained the fundamental metric field g͠ij, g͠ij and the inverse of these tensor fields. Further we study the properties of non-Hermitian space for the R-complex Finsler space equipped with Cubic (α,β)-metric.
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