Analysis for Cartan’s fourth curvature Tensor in Finsler space

In this paper we discussed decomposition for the curvature tensor \(K_{jkh}^i\) of three cases in generalized Kh–recurrent Finsler space, Kh–birecurrent Finsler space and Kh– trirecurrent Finsler space, some results have been obtained in such space, different identities concerning the above spaces.