Decomposition of Curvature Tensor Fields in Einstein-Sasakian First Order Recurrent Space

Abstract

Takano [15] have studied decomposition of curvature tensor in a recurrent
space. Sinha and Singh [14] have been studied and define decomposition of recurrent
curvature tensor field in a finsler space. Negi and Rawat [2] and [12, 4] have
study the decomposition of recurrent curvature tensor field in Kaehlerian space.
Rawat and silswal[6] studied and define decomposition of the recurrent curvature
tensor field in Tachibana space. Rawat and other author [5, 13], [10] and [1, 17]
obtained various results on curvature tensor fields in various spaces in differential
geometry. Various author[7] and [8, 9], obtained result on K¨aehlerian recurrent
space. Further, Rawat and Chauhan [11] studied the decomposition of curvature
tensor field in Einstein-Sasakian first order recurrent space of first order.
In present paper we have studied the decomposition of curvature tensor field
Rh
ijk in terms of two non zero vectors and tensor field in Einstein-Sasakian first
order recurrent space and several theorem have been established and proved.