Decomposition of curvature tensor fields in a tachibana first order recurrent space

Abstract

Takano (1967), have been 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 (1985), studied on decomposition of recurrent curvature tensor fields in a Kaehlerian space. Further, Negi and Rawat (1995), studied decomposition in a Kaehlerian recurrent space. Rawat and Silswal (2007), studied decomposition of recurrent curvature fields in a Tachibana space. In the present paper, we considered the decomposition of curvature tensor fields ????௜௝௞ ௛ in terms of four non-zero vectors in a Tachibana first order recurrent space. Several theorems also have been established and proved.