Study on einstein- kaehlerian decomposable recurrent space of first order

Takano [1967] have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh [1970] have been studied and defined decomposition of recurrent curvature tensor field in a Finsler space. Singh and Negi studied decomposition of recurrent curvature tensor field in a Kaehlerian space. Negi and Rawat [1995] have studied decomposition of recurrent curvature tensor field in Kaehlerian space. Rawat and Silswal [2007] studied and defined decomposition of recurrent curvature tensor fields in a Tachibana space. Further, Rawat and Kunwar Singh [2008] studied the decomposition of curvature tensor field in Kaehlerian recurrent space of first order. In the present paper, we have studied the decomposition of curvature tensor fields R_ijk^h in terms of two non-zero vectors and a tensor field in Einstein-Kaehlerian recurrent space of first order and several theorem have been established and proved.