Diverse Forms of Generalized Birecurrent Finsler Space

The generalized birecurrent Finsler space have been introduced by the Finslerian geometers. The purpose of the present paper is to study three special form of Pijkh in generalized BP􀀀birecurrent space. Weu se the properties of P۲-like space, P-space and P-reducible space in the main space to get new spaces that will be called a P۲-like generalized BP-recurrent space, P-generalized BP􀀀birecurrent space and P-reducible generalized BP􀀀birecurrent space, respectively. In addition, we prove that the Cartan's firrst curvature tensor Sijkh satisfies the birecurrence property. Certain identities belong to these spaces have been obtained. Further, we end up this paper with some demonstrative examples.

Keywords:

Cartan's first curvature tensor Sijkh , P۲􀀀likespace , P􀀀space , P-reducible space