Decomposition of normal projective curvature tensor fields in Finsler manifolds

Abstract

Takano (1966) have studied recurrent affine motion in a recurrent non-Riemannian space and later on he discussed a recurrent whose curvature tensor is decomposable. Also, Sinha and Singh (1970), has studied on decomposition of Recurrent Curvature Tensor Fields in Finsler Spaces; Pande and Khan (1973), has studied general Decomposition of Berwald’s Curvature Tensor Fields in Recurrent Finsler Spaces. After that, Ram Hit (1975), have studied decomposition of Berwald’s Curvature Tensor Fields; Pande and Shukla (1977) has studied a recurrent Finsler space whose curvature tensor is decomposable. In this paper we have defined and studied decomposition of normal projective curvature tensor fields in Finsler manifolds and some theorems established on its.