The Study of Decomposition of Curvature Tensor Field in a Kaehlerian Recurrent Space of First Order

Abstract

Takano [2] have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh [3] 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 [6] have studied decomposition of recurrent curvature tensor field in a Kaehlerian space. Rawat and Silswal [11] studied and defined decomposition of recurrent curvature tensor fields in a Tachibana space. In the present paper, we have studied the decomposition of curvature tensor fields in terms of two non-zero vectors and a tensor field in a Kaehlerian recurrent space of first order and several theorems have been established and proved. The relation between projective curvature tensor and Riemannian curvature tensor is established therein