Abstract

In the present paper, a Finsler space F_n whose Cartan's second curvature tensor P\(_{jkh}^i\) satisfies \(P_{jkh|l|m}^i=a_{lm} P_{jkh}^i, P_{jkh}^i\) ≠0, where \(a_{lm}\) is non-zerocovariant tensor field of second order , is introduced and such space is called as P^h–birecurrentspace and denoted briefly by P^h–BR–F_n. The aim of this paper is to obtain some birecurrent tensors in this space. Also, we introduced Ricci birecurrent space. We proved the projection of some curvature tensors on indicatrix are birecurrent.