Abstract: We presented a Finsler space 〖 F〗_n whose Cartan's fourth curvature tensor K_jkh^i satisfies K_(jkh|l |m )^i= 〖 λ_(l ) K_(jkh|m)^i+b_lm〗_ K_(jkh )^i, K_jkh^i≠0, where λ_(l )and b_(lm )are non-zero covariant vector field and covariant tensor field of second order, respectively. such space is called as 〖 K〗_( )^h–generalized birecurrent Finsler space and denoted briefly by K_( )^h–GBR–F_n, In the present paper we introduce some certain identities satisfies the generalized birecurrence property in our space.
Keywords: Finsler space, K^h-generalized birecurrent Finsler space, Ricci tensor.
Title: Certain Identities in K^h-Generalized Birecurrent Finsler Space
Author: Fahmi.Y.A. Qasem, Amani. M. A. Hanballa
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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