Decomposition of Curvatur tensor filed \(R_jkh^i \) recurrent spaces of first and second order
University of Aden Journal of Natural and Applied Sciences,
Vol. 27 No. 2 (2023),
Finsler geometry has many uses in relative physics and many of mathematicians contributed in this study and improved it. Takano  has studied the decomposition of curvature tensor in a recurrent space. Sinha and Singh  have studied and deﬁned the decomposition of recurrent curvature tensor ﬁeld in a Finsler space. Negi and Rawat  and  have studied decomposition of recurrent curvature tensor ﬁelds in K¨aehlerian space. Rawat and Silswal  studied and deﬁned the decomposition of recurrent curvature tensor ﬁelds in a Tachibana space. Rawat and Singh  studied the decomposition of curvature tensor ﬁeld in K¨aehlerian recurrent space of ﬁrst order. Further, Rawat and others , and  studied the decomposition of curvature tensor ﬁeld in Einstein- K¨aehlerian recurrent space of ﬁrst order. Al-Qashbari , ,  and  and Qasem and others , , ,  and  studied the recurrent for different curvature tensors .In the present paper, we have studied the decomposition of curvature tensor ﬁelds \(R_jkh^i\) in recurrent space of First order and second order, and several theorems have been established and proved.
Finsler space, Decomposition of curvature, recurrent and birecurrent curvature tensors, Cartan’s fourth curvature tensor \(R_jkh^i\), Cartan’s third curvature tensor \(K_jkh^i\)
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