Decomposition of Fundamental Function of Finsler Space & Some Tensors by Lie-Derivative in GBK- 5RFn

This paper discuses the decomposition of Fundamental Function of Finsler space by Lie-derivative in generalized fifth recurrent Finsler space for Cartan's fourth curvature tensor K_jkh^i in sense of Berwald. The decomposition of Lie-derivative of some tensors is studied by using a covariant, contravariant and mixed tensor in GBK-5RF_(n ). The decomposition tensor φ_kh^ibehaves as fifth-recurrent is proved. Also, new identities are established in generalized BK- fifth recurrent Finsler space that admits tensors decomposition.