On Birecurrent for Some Tensors in Various Finsler Spaces

Document Type : Original Article


1 Department of Mathematics, Abyan University, Abyan, Yemen.

2 Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen

3 Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, India.

4 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India.

5 Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran

6 Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran


The BC− recurrent Finsler space introduced by Alaa et al. [1]. 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.