P2-Like and P* Generalized BR- Recurrent Space

In this paper, we introduced the generalized BR- recurrent Finsler space, i.e. characterized by the following condition ? B?_m R_jkh^i= λ_m R_jkh^i+ μ_m (δ_j^i g_kh- δ_k^i g_jh ) ,? R?_jkh^i ≠0 , where? B?_m is Berwald's covariant differential operator with respect to x^m,λ_m and μ_m are known as recurrence vectors, which is a P2-like space and P^*- space [satisfies their conditions], we called them a P2-like generalized BR-recurrent space and a P^*- generalized BR- recurrent space, respectively. The purpose of the present paper to develop the above spaces by using the properties of a P2-like space and a P^*- space. Also to obtain different theorems for some tensors satisfy in above spaces. Various identities are established in our spaces.