On Birecurrent for Some Tensors in Various Finsler Spaces

The BC− recurrent Finsler space introduced by Alaa et al. [۱]. Now in this paper, we introduce and extend BC− birecurrent Finsler space by using some properties of different spaces. We study the relationship between Cartan’s second curvature tensor Pijkh and (h)hv torsion tensor Cijk in sense of Berwald. Additionally, the necessary and sufficient condition for some tensors which satisfy birecurrence property will be discuss in different spaces. Four theorems have been established and proved.

Keywords:

BC− birecurrent space , birecurrence property , P۲−like space , P∗−space , P−reducible space