ON R-COMPLEX FINSLER SPACES WITH SPECIAL (α, β)-METRIC
Abstract
In the present paper, the notion of R-complex Finsler space with 2 special (α, β)-metric α + ǫβ + λ β α (where ǫ, λ 6 = 0 are constants ) which is the generalization of Randers metric and Z. Shen’s square metric is defined. The fundamental metric tensor fields g ij and g i ̄ j and their determinants and inverse tensor fields are obtained. Some examples of non-Hermitian R-complex Finsler spaces with the special (α, β)-metric are given.