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.
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- Decomposition of Curvatur tensor filed \(R_jkh^i \) recurrent spaces of first and second order ↗
Adel Mohammed Ali Al-Qashbari, Abdullah Saeed Abdullah Saeed · University of Aden Journal of Natural and Applied Sciences · 2023
Finsler geometry has many uses in relative physics and many of mathematicians contributed in this study and improved it. Takano [26] has studied the decomposition of curvature tensor in a recurrent space. Sinha and Singh [25] have studied and defined the decomposition of recurrent curvature tensor field in a Finsler space. Negi and Rawat [11] and [12] have studied decomposition…
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